Sounds like another FTO teaching to fly SEP aircraft as 300t heavy airliners... Power should be off (idle) when above threshold (although approach should be done with power), reducing power during the flare - especially in ground-effect aircraft such as PA28 or for e. DA20 - is too late and will result in wasted runway...
I agree, PA28 requires slow but constant "pulling" of the yoke during flare - pretty similar to C172. The "attitude landing" where you set the attitude and "see what happens" is for T-tail aircraft, such as PA38 or DA20, which have super-effective pitch control even at low speeds and even the slightly too much pitch-up control results in balooning (and in PA38's case almost always f* landing since it looses so much speed in horizontal flight when you try to do another flare).
But as said, I think there is topic somewhere about landing PA28, which I found out to have VERY interesting and accurate information during my PA28 conversion course.