When you would draw a card here, you have two replacement effects that both want to apply to that draw. Since neither of them take priority, you can apply either one first.

If you apply Asmodeus's effect first, then you would exile the top card of your library instead of drawing a card. Since you're no longer drawing any cards, Though Reflection no longer applies and you'll just exile the top card of your library.

If you apply Thought Reflection's effect first, then you would draw two cards. Since there's nothing waiting to modify the multiple draw, the game then parses it down into two individual draws. Asmodeus's effect will then be applied to each draw and exile a card from the top of your library twice instead.

Let’s look at the draw event and go step by step though applying the replacement effects.

“You draw a card.”

Your Thought Reflection’s effect is applied.

“You draw two cards.”

Your opponent’s Alms Collector’s effect is applied.

“You draw a card and your opponent draws a card.”

Your opponent’s Thought Reflection’s effect is applied.

“You draw a card and your opponent draws two cards.”

Your Alms Collector’s effect is applied.

“You draw a card and your opponent draws a card and you draw a card.”

All replacement effects have been applied and the draw event happens.

Net result: You draw two cards and your opponent draws 1 card. The inverse is also true if your opponent would draw a card.

Your opponent loses before the Psychosis Crawler triggers even go on the stack.