Anecdotally, bending firewalls in GA aircraft seems to be common so it might be more a measure of what bends first rather than relative competence.
That question can be applied to both GA and RAA instructors. My own experience has been that instructors with RAA qualifications are on average better than GA only instructors.
Almost all the RAA instructors I have flown with have also had GA instructing qualifications, most had extensive commercial (or military) experience outside the training environment, and most had experience in many different aircraft types.
The worst instructors were the GA instructors who didn't seem to have much experience outside of the training environment. They tended to look down on RAA even though they had no experience with it.
I think that the biggest problem is that people are taught to fly the approach too fast. Most schools seem to add 5-10 knots to the book speeds for "safety". That means the approach is flown with a lower nose attitude, and you have to wait longer and use more back pressure in the flare to land on the main gear.
Watch a few landings and see how many people land on all 3 wheels at once, or with the nose wheel barely in the air. If the nose wheel touches first the nose is pitched up and you will bounce - the effect is much stronger than in a tailwheel aircraft because the nosewheel is much further forward.
A C172 specifies 60-70 knots for the landing approach. One school I knew specified 70 knots as the approach speed to be flown - which would be OK, except that they then applied the CASA margins of +5, -0 to the speed. So flying the approach at 75 knots was OK, but straying into the book speed range was outside tolerances.
Then you send the student out solo, the aircraft is lighter so flies with a lower nose attitude, the student has been drilled not to get too slow, and it's a recipe for landing on the nosewheel.