House Edge doesn't effect with your winning chances anymore and if the site offers 0% house edge these sites would be bankrupt in the long-run because from House Edge the profit comes from and automatically adds the bankroll for every bet we made and it makes the site can withdrawing any amount you want as long as you have the funds
And nowadays no one site offers 0% house edge because it's become worthless for building the gambling site and want to get the profit.