Horn vs AMT tweeter difference

OP:

Get what you like! It depends a great deal on the AMT and horn though, so a general description is hard. There are very popular makers with AMTs I hate (Golden Ear) and some I love ( Monitor Audio ). I wouldn’t be able to say "You should buy a speaker with AMTs!"

Same for horns. The best AMTs vanish. You stop listening for their characteristics, have high dynamic range and sound equally good played loud.

The best horns have extremely good dynamic range and help work with a variety of rooms.

AMT drivers are cheap and very beamy. If a horn is designed and used correctly it can be very natural. Their efficiency is a big plus widening your choice amplifier. May I suggest the Klipsch Heritage collection. The Cornwall 4 is an exceptional speaker at its price.

I feel the opposite, I love Golden Ear and hate Monitor Audio. 

I had AMT based speakers for at least ten years. I loved them. While I moved on to ribbon, I was never inclined to go to horns from my auditioning. 

I suspect the transition can be effective if you simultaneously switch to horns and upgrade your amp (lower power, but much higher quality sonically).

But like most choices, listening should be your guide. AMT would create an emotional connection with me, horns not so much.

AMT drivers are cheap and very beamy

Just the bad one's.