Your opinion to how you see binance and bittrex in the next generation are welcomed.
Your comparison of Binance and Bittrex is really a handicap match, for me. There was a time when Bittrex held sway as a leading exchange. And that time it was with Poloniex and a few others which are now taking a back seat. But at the moment Bittrex isn't a match for Binance. Check the daily trading volumes on both exchanges and you can only observe the difference. I will rather trade on Binance than Bittrex.
You are right, both usually act as rivals but it'll depend upon us ourselves we'll use any exchange site to exchange however binance isn't really an honest site compared to the other site binance has been at the highest of the crypto market from the very beginning. I exchanged at Polonex and Bittrex but didn't get the advantage of binance anywhere.