I lean a bit to that view too, CH. However, in the bush where the C182 and the big old Cherokees were, and to some extent are, king I've watched many of the younger generation on stations learn to fly well in the family aircraft. My observation is that, apart from the stability factor you mention, the extra power can breed the view that one can hop in the aircraft and blast-off in (nearly) any circumstance. There's something about coaxing a C150/152 off a short, soft strip on a hot day that leads to a respect for technique and P-charts. My suggestion to the OP would be make sure that he does some comprehensive load checks under various conditions as soon as the local training regulations permit, along the lines already noted by I42.
On the plus side, the extra familiarity with slightly more complex systems and extra speed is no doubt a good thing. Find a good instructor and go for it.