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Yeah this sounds like it - when you say same Ethernet segment, what does that mean? Might as well have them as different names/networks as phones etc should switch over to strongest, no?
Well_is_it-
when you say same Ethernet segment
Connect them with layer 2 switches, not layer 3 routers.
The typical ISP device combines 4 (or more) things into one box. There is a modem connected to the VDSL line doing the ITU-T G 993.2 stuff. A router running PPPoE upstream and providing local services like DHCP, a switch linking that router to the 4 Ethernet ports on the back and to the integrated access point. I have all 4 functions in different devices.
You probably want everything in your house connected to the same side of the router so things like Chromecast and Airplay work.
jellybaby
You just want a pair of conventional access points. You don't need mesh if you have Ethernet to each. Maybe put an access point at the front and back of the house? Same SSID, same Ethernet segment at the back. Clients will automatically switch to the strongest.
I have my router in the garage with an Ethernet switch. There are cables to some fixed devices in the house (dining room/study, master bedroom, loft room) and a pair of access points (dining room at front of ground floor, old airing cupboard at back of 1st floor).