How does Waves do when it comes to transactions per second?
I think it beats Ethereum by far. It has been recently upgraded and it should be one of the fastest platforms now. Let's see what will happen as they will introduce smart contracts, which should happen rather soon.
Don't think but check statistics. It's up to 500txs! This has been achieved with masstxs(
https://twitter.com/GoWavesgo/status/989418427457687553). I'm not sure but this figure is probably was limited by network settings which are set at the moment, which if required can be increased later on, but for better distribution of fees between nodes' should be kept still on lower limit as possible. With daily growth of tx amount network will increase capabilities of tx per second up to 1000 (with masstx probably even more)