the HDMI port on the current MacBook Pros is only HDMI2 (because Apple ran out of bandwidth on the SOC and HDMI is less important) and not HDMI 2.1, which is lower bandwidth than the Thunderbolt 4 ports can handle - which means lower refresh rate than you can get out of a Thunderbolt 4 port at very high resolutions (above 4k).
I think it tops out at 4k/60 (or something like that) and the TB4 can go higher (e.g., 4k/120, 8k/60 or 8k/120 not sure).
If you've got a normal person monitor then sure, the HDMI 2.0 port is fine. And yeah, use it (I'm using mine right now) - HDMI cables/ports on monitors are far more common than type C USB, and it's one less dongle if your. monitor doesn't have USB-C directly.
Thanks. I’m very much in the category of having “normal person monitors”, hence my curiosity at @Pro Apple Silicon ’s comment that HDMI is for “emergencies only”. It look fine for me for the next 10 years