Uniswap exchange is a very new exchange and its popularity is growing gradually, not having a lot of users as compared to Binance exchange. Uniswap exchange as one of the exchange that made the 2021 projects to be more interesting, making new features of exchange. Though the two exchanges are very good, Binance is very much popular and has a high liquidity of projects listed there. There are other exchanges that has good features too, such as gate, that has a close feature with binance, and Kucoin which are the most exchanges that I use for trading.
In terms of Binance and Uniswap, they have made their own routes and will have its users as time goes on, but Binance having the features of uniswap already in their exchange, that will be a very good point for the continuous growth and popularity of Binance exchange.