Well, okay, three (um, four).
The first two types have a good handle on their own teaching style, and respect for students. These are, first, the coach that adapts their own goals and teaching style to each student. This coach will have a couple of serious students, a synchro skater working her way through the tests, a once-a-weeker, someone working on the axel, and a couple of tots. She works with each student at their own pace and learning style.
The second coach has one of those types of skaters, 17 times over. This coach has identified the type of skater she works best with and seeks them out. She's honest with parents up front, telling them exactly what she expects of her skaters.
Then there's the cookie cutter coach.
This coach has the range of the first coach above, but forces every student into the same mold. This is the coach that is telling some poor clueless parent that their child isn't working hard enough, or has the wrong body type for figure skating, or needs more lessons. Or worse, drops the child, loudly blaming the child or the parent for the child's poor success.
Some cookie cutter coaches aren't dishonest in this way, they're just clueless. They don't have a good range of teaching approaches to adapt from, so they just keep giving the same lesson to everyone, regardless of whether it's working or not.
The cookie cutter coach will take any student that approaches them. Rather than actual successful (whatever your definition of that is) skaters, she's got PR--she's the coach of the "popular" kids, or makes a big fuss when they're all going to some competition (but no corresponding fuss when they all do poorly). She sells her kids matching outfits, makes a production of group lessons, and talks a big game.
In a way, the cookie cutter coach is like coach #2--they are able to teach just a certain type of student. But unlike coach 2, they're not being honest with themselves or their students about their own teaching style, whether deliberately or not.
Have you ever encountered, or taken lessons from, a cookie-cutter coach?