I've extended the wifi in my home with a second wifi access point (AP) router, wired to the main one. The two routers are configured with the same encryption settings, same subnet, and same dhcp pool.
Their antennas are on non-overlapping channels, and they are configured with separate SSIDs (e.g. HOME-24G-ext vs HOME-24G). Would reconfiguring the extension router to use the main's SSID affect anything w.r.t. the AP-roaming decisions of modern phones and computers (in 2018)?
With separate SSIDs, I will sometimes witness wifi clients hanging on to a weaker signal on the main, and not automatically switch to the other extension SSID (or vice versa). So, I'm wondering if uniting the SSIDs would facilitate transitions to the AP with a slightly stronger signal.
Note 1: This is related to this question on same vs. different SSIDs, but not quite the same. My two routers are wired, so I don't think that the issue where "clients hang on to a stronger repeater signal when better performance would be achieved on the main router (despite a weaker signal there)" applies.
Note 2: WDS wasn't an option -- The main router doesn't support it.
Note 3: My setup: the extension router is wired from a LAN-port to a LAN-port of the main router. And dhcp is handled only by the main router. This is called "Bridged AP" in OpenWrt parlance.