He knows he has accelerated, and he also sees his twin's clock run slow, so he knows they're no longer stationary relative to each other. The other twin sees him accelerate and he also sees his twin's clock run slow, so he knows they're no longer stationary relative to each other.
Except the stationary twin is stationary, his clocks never slowed. The moving twin just can’t see he only sees his clocks reflected in what he thinks to be true. The stationary twin on the other hand correctly sees the moving twins clocks slow.
Doesn’t the moving twin realize his perception of the stationary twins clocks slowing can’t be true, since that twin isn’t moving? If so, why is he surprised when he returns home to find out he aged slower and not the stationary twin he thought would age slower?
The stay-at-home twin is only stationary with regard to observers sharing his frame. The same can be said of the travelling twin in his frame. The difference between them is the accelerations/decelerations (same thing) of the travelling twin.
So now you are going to change the conditions of the thought experiment? If this was true, then the stationary twin should have aged slower, since the moving twin thinks he is stationary too.
Neither of them are wrong in their measurements, any more than observers in relative motion who disagree on the simultaneity of two events are wrong. For one the events are simultaneous, for the other they're not.
The moving twin is wrong, plain and simple. He sees the stationary twins clocks slow, they never did.
There is no preferred frame.
Then why do you keep trying to treat our frame as a preferred frame when discussing our clocks changing or not? Wouldn’t the initial stationary state of the universe be the preferred frame? I mean only the stationary sees the other twin clocks correctly.
I'm aware my clocks will run slow to observers moving relative to me (and vice versa). I'm also aware that if I accelerate away from a comoving companion then return, my clock will show less elapsed time than theirs.
Except the stationary twins clocks never slowed, the moving twin just couldn’t perceive their rate correctly. What he saw was simply a reflection of the rate of his own clocks, which he thought were not slowing.
If you accelerate away from a comoving companion, and see their clock slow, then return and find yours showed less elapsed time, then you know what you perceived of his clocks being slower was not true. You saw your clock rate in his clock rate, not his. Only he sees things correctly, your clocks slow, as you accelerated away, not him.