I can't speak for anybody else... But, I have been doing twizzles and loops in programs for a few years now, so they are not completely new to me. I would feel much more comfortable teaching twizzles than loops. I have spent some time with my coach on loops so I can better understand how to teach them, but I would not feel comfortable teaching them just yet.
I see more problems arising when coaches "think" they can teach elements that they never did or don't remember learning, like loops and twizzles.
with regards to loops. I entered a competition a couple of years ago which required a series of 3 loops. On the UK tests we only have BI loops. My coach hadn't ever taught loops other than the test ones and of course it's now over 20 years since she passed her figures test in them. It made for an interesting lesson as she had to work out how to teach them.
Thanks for the answers! I was pretty curious because I see my coach doing them but I never see anybody else other than the mitf coach doing them. Maybe both of them already did loops/twizzles in competition or ice dance or whatever.
As for the demonstration, if I get lucky my coach demonstrates a wicked layback, or a half-camel or half-sit. She calls over other students sometimes to demonstrate doubles, not very often though. Part of the reason I got stuck on salchow in group lessons though was because nobody actually explained to me what a salchow was..