The question really is this, why would a believer think when someone has been martyred they have been overcome?
Here's some of the relevant verses pertaining to this.
Daniel 7:21 I beheld, and the same horn made war with the saints,
and prevailed against them
Where we then see in verse 22 that this comes to an end when the Ancient of days comes. Notice in verse 22 it begins with 'Until', which clearly tells us that the little horn once it makes war with the saints, it prevails against them until that of what is recorded in verse 22 comes to pass. We are also told in verse 22 that this is when judgment was given to the saints of the most High; and the time came that the saints possessed the kingdom. IOW, believe it or not, chronology actually matters. Plus, note in verse 22 that judgment is being given to the saints of the most High, meaning the same saints the little horn was overcoming.
Daniel 7:25 And he shall speak great words against the most High,
and shall wear out the saints of the most High, and think to change times and laws:
and they shall be given into his hand until a time and times and the dividing of time.
Thus far, in regards to the saints being overcome, we are told this in Daniel 7---and prevailed against them---and shall wear out the saints of the most High---and they shall be given into his hand.
Verse 25 then tells us how long this goes on for---until a time and times and the dividing of time.
Now we need to consult the NT in order to try and determine what is meant by a time and times and the dividing of time.
A good place to start is Revelation 12.
Revelation 12:6 And the woman fled into the wilderness, where she hath a place prepared of God, that they should feed her there a thousand two hundred and threescore days.
Revelation 12:14 And to the woman were given two wings of a great eagle, that she might fly into the wilderness, into her place, where she is nourished for a time, and times, and half a time, from the face of the serpent.
This gives us a clue as to how to interpret a time and times and the dividing of time.
In order to mathematically arrive at 1260 days if the formula is a time, and times, and half a time--it would have to be like such.
1(a time) + 2(times) + 1/2(half a time). Which would mean 1 year + 2 years + 1/2 year = 3.5 years. Or this--360 days(1 year) + 720 days(2 years) + 180 days(1/2 year) = 1260 days. Or--12 months(1 year) + 24 months(2 years) + 6 months(1/2 year) = 42 months.
Which then tells us that they shall be given into his hand until a time and times and the dividing of time, that this is meaning 42 months. Where that is obviously meaning the following in Revelation 11:2 which then is meaning Revelation 13:5.
Revelation 11:2 But the court which is without the temple leave out, and measure it not; for it is given unto the Gentiles: and the holy city shall they tread under foot forty and two months.
Revelation 13:5 And there was given unto him a mouth speaking great things and blasphemies; and power was given unto him to continue forty and two months.
Several questions arise. When do the 42 months begin and when do they end? Are these a literal 42 months? As to the latter, the only way to determine that is by knowing when they begin and when they end, and how much time that involves. If it involves more that a literal 42 months from start to finish, obviously it can't be meaning a literal 42 months in that case.
What's interesting about this, 42 months is 1/2 of 7 years. Which then should have one thinking about the 70th week and the last half of Daniel 9:27----meaning this---
and in the midst of the week he shall cause the sacrifice and the oblation to cease,
and for the overspreading of abominations he shall make it desolate, even until the consummation, and that determined shall be poured upon the desolate .
If a week involves 84 months, how can the midst of it not be involving 42 months from the the midst to the end of it?
BTW, Preterists who interpret Revelation 11:2 and this 42 months to be involving Jerusalem leading up to 70 AD, this is debunked via Revelation 13 since none of that could possibly be involving what happened in the first century leading up to 70 AD. As if it makes sense that---And there was given unto him a mouth speaking great things and blasphemies(Revelation 13:5)--is relevant to the fall of Jerusalem in the first century.