"My questions are two:
Are there only "2" styles of foiling? I mean, racing and freeride and that's it?"
This is a good question, and as we see loads of different "styles" in TT and waves, one would expect the same to be the case with hydrofoils.
After 5 years with foils, and looking at how everyone progress - I would say you have it narrowed down that there IS only these two styles, oddly but somewhat true.
Some like to race, full foil kite gear and top race setups, cool
Some like to go fast, maybe not racing, but the same gear maybe second hand from the first group, and maybe doing some of the local competitions to have fun with others at the same not top level but they compete with similar friends.
Some like to ride freestyle or waves or jump, great
Hey, isnt that 3 different styles, the last one?
Not really IMO, as freestyle and waves are same gear, and those liking that, sometimes take a bigger kite and maybe a faster wing maybe their normal wing, for jumping using straps.
At least this is what time has shown around here...
Some of the last group started with used racegear, and found out they rather wanted to carve around, so changed their gear fully into this.
The other way around is rarely or never seen, as those who want to race, start with race gear, so no "converts" this way - but on the other hand many who like to race here, also cool
Something in between?
No, never, apart from those using the first couple of foiling years to find out who they are
MIght be very different at different locations around the world, but quite evident here that there are these two extremely different styles but not something in between