That's your assumption that they involve the same temple, but I (an Amil) disagree with that. As do many other Amils. So, I'm wondering which Amils exactly you're talking about here.
Since most Preterists are also Amils, though some of them are PostMils instead, I'm meaning Amils like them. And as to Preterism, from what I can tell, most of them see the temple involving Matthew 24:15 to be meaning the same temple 2 Thessalonians 2:4 is involving. If I were to guess, regardless what temple one thinks 2 Thessalonians 2:4 is involving, whether it be the 2nd temple, a rebuilt one in the future, or a temple in a non literal sense, the majority of interpreters, which includes both Preterists and Futurists, agree that it is meaning the same temple Matthew 24:15 is meaning. Those who might disagree, such as you, would be in the minority not the majority.
And the same would be true of Daniel 12:1 and Matthew 24:21, would be my guess. The majority of interpreters agree that Jesus was quoting from Daniel 12:1 in Matthew 24:21. Any interpreters that might disagree, such as you, would be in the minority not the majority.
Assuming Matthew 24:15 is involving the same temple 2 Thessalonians 2:4 is involving. And assuming Matthew 24:21 is involving the same time of trouble Daniel 12:1 is involving. And that if we interpret Matthew 24:15-21 to be involving the 2nd temple in the first century, while interpreting Daniel 12:1 and 2 Thessalonians 2:4 to be involving something pertaining to the end of this age, this is an example of an interpretation full of contradictions, not one that is squaring. Keeping in mind, assuming that the first 2 sentences in this paragraph are true.
It doesn't matter which temple or what kind of temple one is applying the one in 2 Thessalonians 2:4 to. That's not the point. The point is that it is meaning the same temple Matthew 24:15 is meaning.
In Matthew 24:10-13, Jesus addressed the same falling away from the faith, increase in wickedness and deception that occurs before His second coming that Paul did in 2 Thessalonians 2.
I agree. So why can't that also mean during when Matthew 24:15-26 is meaning? Look how Jesus begins the OD.
Matthew 24:5 For many shall come in my name, saying, I am Christ; and shall deceive many.
And that He is still going on about this in the following verses right after what He said in regards to the AOD.
Matthew 24:23 Then if any man shall say unto you, Lo, here is Christ, or there; believe it not.
24 For there shall arise false Christs, and false prophets, and shall shew great signs and wonders; insomuch that, if it were possible, they shall deceive the very elect.
25 Behold, I have told you before.
26 Wherefore if they shall say unto you, Behold, he is in the desert; go not forth: behold, he is in the secret chambers; believe it not.
If I'm not mistaken, you think these verses are meaning after the events involving verses 15-21 are fulfilled first. I would likely agree if I too was convinced that Matthew 24:15-21 is referring to the first century leading up to 70 AD. But I cannot agree with that the fact I already fully accept, just like the majority of interpreters do, that Jesus was quoting from Daniel 12:1 in Matthew 24:21. And that no resurrection of the dead event ever followed what took place in 70 AD, and that Daniel 12:2 records that a resurrection event follows the time of trouble meant in Daniel 12:1.
Let me bring up something else.
Daniel 12:12 Blessed is he that waiteth, and cometh to the thousand three hundred and five and thirty days.
13 But go thou thy way till the end be: for thou shalt rest, and stand in thy lot at the end of the days.
How can verse 13 not be interpreting what is meant in verse 12? IOW, how can the thousand three hundred and five and thirty days, once that has been reached, not be meaning at the same end of the days verse 13 is meaning? Assuming one is able to accept that, thus agree, well, one can't divorce verse 12 and 13 from verse 11 then.
Daniel 12:11 And from the time that the daily sacrifice shall be taken away, and the abomination that maketh desolate set up, there shall be a thousand two hundred and ninety days
And if verse 12, at the end of the 1335 days results in the end of the days in verse 13, obviously, one can't even reach day 1335 without it first involving the 1290 days recorded in verse 11. That's just common sense, right?
Not only does Matthew 24:15-31 involve an AOD with a time of trouble that has no equal, a resurrection from the dead event(Matthew 24:31), so does Daniel 12. I find it to be utterly preposterous to just chalk that up as merely coincedental.
One last point. Matthew 24:records that those in Judea are to flee to the mountains at the time. Therefore, according to interpreters, such as you, this AOD is involving a literal temple and that only the 2nd temple makes sense of the text.
Consider the following then.
Revelation 18:4 And I heard another voice from heaven, saying, Come out of her, my people, that ye be not partakers of her sins, and that ye receive not of her plagues.
How should we assume they are to come out of her? By literally leaving one geographical region and entering into another geographical region? Or is this meaning in another sense, a sense where it is not required to literally leave one location and enter another location? Assuming you agree that this is not literally meaning leaving one location and moving to another location, why can't the same be true regarding what is recorded in Matthew 24 about fleeing to the mountains? Just because it is literally true in Luke 21, why does it have to also be literally true in Matthew 24, especially if Matthew 24:15 is involving the same temple 2 Thessalonians 2:4 is involving?