If you want help with openwrt - go there… Not going to waste my time sorry, its been over 10 years since used it.. Back when put it on a wrt54g... How to setup eap-tls with freerad on pfsense has been gone over multiple times.. I have posted config I use multiple times.. If you want me to post it again sure..
"I need to ask what are their pros and cons?"
Running you authentication on your AP.. Might be fine if you had 1 AP... After that it doesn't scale at all.. Have you run it on your switch? Its PITA to configure such stuff..
Yes pfsense would be your router/firewall - doesn't matter how you get your clients on the network via wire or wireless.. It would route all your traffic.
"Wifi rules separately into the AP itself?[/"
Your confusing what a AP does with some wifi router device - your stuck in the openwrt mindset where everything is done on the little box... a AP does nothing more than bridge the wifi client to the wired network.. It does not route, it does not filter it does not do anything but bridge the wireless devices to the network..