Agree with everything said. However please don't make pop times or arm strength sound unimportant. Every catcher drafted or recruited by colleges will need an acceptable pop time and good enough arm. Every tryout, every showcase, every chance scouts get... Your pop time will be recorded. Every catcher should strive to improve their pop time and arm strength.
Sooner or later the pitchers you catch will get quicker to the plate. The pitcher has no effect on your pop time, he only affects the call at 2B.
That said, it is all important, you can create interest with a good pop time, but you won't be able to catch without being good at receiving, blocking, framing and everything else it takes to be a top catcher. And yes it can be taught if someone wants to learn. Only thing you can't teach is desire and courage.