I can notice a slight latency in Gnome Terminal ... running in a VM ... on a Windows host ... being accessed via RDP over Wi-Fi and a 100 Mbps line. Not enough to bother me.
If you type fast, but still have to look at your output, it may be a good idea to wean off that; you should be able to type while reading something elsewhere on the screen, only occasionally glancing on what you're typing.
Traditional typewriter typists had to be able to transcribe an existing written text (e.g. manuscript). That meant their eyes were on the text they were reading, not on their hands or the typewriter ribbon strike area.