I was a flight instructor a couple of years ago and did some instructing on the PA28 type (500hrs or so) and found that the students performed better in the warriors than they did in the Cessnas.
It's a very stable aircraft, so once it's trimmed, you can fly it hands-free which allows you to concentrate on where you are going as opposed to trying to keep the aircraft under control. Quite good for nav training for obvious reasons.
It's also an easy aircraft to land and allows for a stable approach very early on finals with good speed control. Good vis in the flare as the nose attitude is not as high as the Cessnas. Actually the touchdown attitude is not unlike that of an airliner or biz jet, about 4 degrees nose up (might be useful if you want to go that way one day).
The only aircraft I feel that can compare is the new Cessna C172R, but they cost a fortune to hire as they're new. Dollar for dollar, it's hard to beat the old warriors. I did my training in them and have flown quite a few other aircraft since, still one of my favourites. There's a reason why they're still flying in such great numbers while many new aircraft have come and gone.
Good luck & enjoy your training.