Thank you, folks, for the replies and opinions!
slc, just get on and ride is not what I pay money for. I pay money for "learning", not just "riding".
Maura, I absolutely agree with what you said. I didn't even think about it, but I very likely have too much expectations from lesson horse (I guess I'm too spoiled
). However here is what I'm not very positive about
1) He doesn't have stable gates (as well as transitions).
2) He can jump (we did it on 1st lesson although he feels kinda "heavy"), however in 2 lessons we did zero 2-point work. And that's confusing a heck out of me: when I was taking jumping lessons on my own greenie (in different barn where they don't have lesson horses) at least 30% of the lesson (I'd even say 50%) was 2-point work.
3) When we started working over the poles last lesson (4 on circle: 2 on trot, 2 on canter) that's when he went bananas refusing to work. Per instructor he's not used to that kind of work at all.
Again, I'm NOT whining here nor look for excuses, I'm just getting opinions on what's best in this situation - continue or try another place as I don't have tons of money just to throw away.