Almost same here, today i've made deposit 0.0504 BTC lose in slot game then i made second deposit with 0.0503 BTC  and i can recover my lose. Then i'll made withdrawal 0.2 BTC, but an email coming ask to upload my ID, i wont do it because its only 0.2 BTC should not big amount for big site like oshi (although its big for me) and im playing this with bitcoin because bitcoin is anonymous.
Ive chatting with support team but their answer i must do that. until now my withdrawal still pending and i dont know will processed or not ( i hope it will, i'll update this post if my withdrawal processed)

Just suggestion, to ask ID should only happen for withdrawal with big amount like 10BTC or more and many small player like me will enjoy playing in this site.