Some people hate losing and will offer draws in completely losing positions.
Confusion with winning possibility

i was live at that time achin da...postionally weak player actually it was his figment of imagination to win the game early by attacking with bishop +queen anways ur knight was the hero..:)
During this game, ( www.chess.com/livechess/game?id=1215510723) my opponent, who was playing white, was repeatedly offering draw at the ending phase. I declined and at last they resigned. After the game, I sent them a message saying:
" you were offering draw!!! strange!!! can you please explain the logic behind the offer? and why should I accept a draw offer when I am winning? "
My fellow opponent replied:
" U weren't really winning bro. It was just a figment of your imagination."
(However they wrote one more sentence. That was entertaining but not relevant here.) This message made me confused. I am really interested to know whether there is anything hidden here. It is worth mentioning that, if my opponent had not resigned, they would have lost on time. And it would be nice if you readers kindly let me know your ideas about this game through comments.
Thank you.