What you'll want most out of both situations is network stability, which is the strength LAN/wired provides. Ethernet eliminates the instability of wireless, which is what causes things commonly perceived by people as "lag". Lag = a ping/connectivity spike, or prolonged spikes. Good routers and good connections still help here even our wireless, but they won't defeat the consistency of wired.
Yeah, one of the constraints of an early 90s home. No LAN cables other than what I want to run across the floor to trip over.
I did get one addl eero 6 that I connected to my PS5 via a LAN cable. That's probably the biggest boost I saw to something over 500. Now I'll just be fighting my son as he tries to use it on his PC.