My experiment got down to ~10 ms average tap latency on a 60 Hz phone with a touchscreen scanning at 240 Hz: https://twitter.com/kdrag0n/status/1291213993219039232
Source code: https://github.com/kdrag0n/touchpaint
I have to say that writing on phones really feels much more interactive and natural when the latency is so low. I don't personally feel like these ranges of latency are that big of a deal on desktop computers where input is indirect, but it feels much more significant on phones where your interactions are right underneath your finger.