I just did a bit of searching about this multi-network. This experience may shed some light:
My setup:
I originally also setup 2 WiFi routers (one is actually creating a downstream sub-network within another). Both have identical SSID+password (and same 2.4GHz frequency, for that matter), at upstairs and downstairs in my house, in hoping that they would be seen as same network, thus allowing my devices to freely roam from one to another, whenever they see fit (hopefully based on signal strength).
Such setup seemed to work in the way I expected, in a sense that all my phones, tablets and computers show only one available WiFi network, rather than two with same names. My devices can connect to that network, and work just fine.
But, in hindsight, my devices displaying only one SSID network might just mean they silently hide the other one with the same SSID; it does not necessarily mean these devices can roam between both. In everyday usage, you just won't know. A device might just be sticking with one WiFi network all the time.
How/when did I realize things weren't right? Recently I happened to disable my downstairs router, and then I found out a certain set of my devices became offline. In their network setting menu, there is still one seemingly same WiFi network as a "remembered network" meaning the device does have the password, but tapping the "Connect" button would always fail. Realizing what was happening, I can experimentally re-enable my downstairs router and disable the upstairs router, now my previously unable-to-connect devices can work, but the another set of devices would become offline.
The conclusion: Setting up 2 WiFi networks with same SSID+password is not the "poor man's mesh WiFi" that I hope it would be.
I wonder if this applies to commercial networks, as in hotels and offices, or do they have access points that do something intelligent to hand devices across like the mobile phone systems do.