Or even within crypto, there's still plenty of big reputable firms doing it.
As for track... half the interview will revolve around technical questions and knowledge of the markets - which sounds like you have. As for track - how did you trade? On chain? You could provide wallet address. On CEX? You could make screenshots or sth. But frankly Id think evidence won't be the stumbling block.
Having done it self employed will only make it more impressive.