I think it depends a lot on what region you're from. They're very popular in TX and AZ but not so much here in MD. A lot of associations don't allow them.
I was lucky enough for to have a horse with an awsome natural tail. This picture shows his real tail. If he didn't have as nice of a tail, for sure i'd have an extention in his tail.
Some horses, like lots of Appy's, have very short tails. I'm not sure, though, interesting question.
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At the moment Morgans are not allowed to use fake tails. Now, there is something going around that is either contemplating or has decided to allow fake tails in the future. I heard about it at nationals, but cannot remember if they were saying the morgans will be allowed to use them or if it was just being reconsidered.
Being a trailrider, fake tails are totally foreign to me, however I am very curious to know how they would be attached. How do you care for them once attached?