Connecting with mAP2nd to a hotel/city/public wifi, and then redistribute it as another wifi (same band/channel) and also via ethernet is no problem.
I use this very very often (the mAP Lite is also my VPN provider to my home network, for everything connected to the wifi or ethernet port of the mAP Lite)
Connecting to a PEAP/Enterprise secured network can be a hassle, but in most cases it works.
You can choose between repeater setup (with “station pseudobridge” mode) or as a Home AP with ( “station” mode) wifi uplink and it’s own DHCP server.
Hassle?: is finding the right settings around certificates. And also DHCP client on attached devices may need a DHCP relay on the mAP Lite, or clients need to use a static IP address.
Home AP mode does not have that problem.
My mAP selects and autoconnects to all wifi networks I ever visited. That includes my own smarthone, as I always travel without ethernet cable. (wifi downlink depends on uplink wifi)