The most likely thing is that your opponent makes a move, your conditional reply is executed, and then your opponent makes another move. So it looks as if they all happened at once to you.
If your opponent made one move and your conditional move was excuted and then your opponent just waited .... for several hours let's say .... then I am sure that you would see this if you checked the game (though of course, the game would not show as your move because it would not be your move).
When I make a bunch of conditional moves for a game (3 moves by both sides for instance) then it seems that I dont see them being moved untill all moves are made and its my turn to make a choice again.
Maybe I miss them becuase while the conditional moves are being made the game doesnt show up as "its your turn" (as the moves are being made directly).
It would be better I think to also see the parts of the conditional sequence, instead of only the result.
example:
If make 3 sequential conditional moves:
if e4 then e5
if Nf3 then Nf6
if Nc3 then Nc6
If my opponent makes these moves it would result in: 1. e4 e5 2. Nf3 Nf6 3. Nc3 Nc6
Now it seems that when I check the game everynow and then nothing has happend and all of a sudden when I come back the board shows: 1. e4 e5 2. Nf3 Nf6 3. Nc3 Nc6
But I would also like to see it when 1.e4 e5 has been played (maybe I no longer like my next conditional moves)