Wired is your best bet and worth pursuing, it just works, not much will impact it.
I wired my APs and get Gigabit wifi in each room with the APs that have a wired backhaul but obviously there is cost involve in this multi AP approach, one AP is wifi connected to the network and it can get 1Gigabit also to its devices but only if its wifi connection is used as a bridge to connect two APs together to wired devices on the AP hubs, the moment the AP has to repeat the Wifi to another Wifi device there is significant drop off as I don't have dedicated Wifi backhaul. (~50% drop)
Problem with Wifi 6 is it still relies on 5Ghz radio so any signal issue you have already are not likely to be improved with a new device, not quite true of course different antenna configs can provide better coverage but if it is not penetrating walls etc. it is probably still not going to penetrate, Wifi6E with 6Ghz will be even worse.
Some nice bits of kit in here, budget can get a bit wild versus a bit of wire mind you.
The best Wi-Fi 6 routers offer fast speeds and strong signals among standalone units and mesh kits alike
www.tomsguide.com
I use some janky AX3, wouldn't necessarily recommend as they aren't the best supported, most secure, have poor range and features devices but < £40 a pop, if you can over look that, does 1Gb with ease on wifi 6 or 5 if you have 160Mhz wifi 5 devices as shown below. As mentioned I put one in each room I wanted performance and wired the backhaul.