Depending on your lie, a PW can certainly be used around the green. Try and get the ball on the ground as soon as possible. I use everything from my 7-iron to my 60-degree around the green. Be creative. Find some chip shots that work for you.
I actually agree here, that you can use lower lofted clubs in the right situations. These situations are where you have a good lie on the fringe/fairway, and a lot of green to work with. These aren't the situations that high handicappers find themselves in very often. More likely you are in the shit, short-sided, with a bunker to get over. All I ever learned to do was to take a PW around the greens when I first started, and it absolutely killed me in almost every situation I found myself in. Then I started just walking around my yard, hitting chips/pitches/flops with only my 60 degree, learning how to control the face better, and that's when I started to actually play the game like I knew (somewhat) what I was doing. Not learning how to do this the right way, and not picking the correct club for the situation, is what dooms 90% of beginners around the greens. I'm not saying I get everything up and down, but you'd be surprised how many triple bogeys you can avoid if you use the right club and the right shot in the right situation.
Arak, for chip shots, do you hinge and hold? There are two competing philosophies, even on tour, about whether to break your wrists during chip shots. Mickelson/Pelz are big proponents of hinge and hold:
I use this sometimes, but not always. I actually prefer the method shown here by David Glenz, where the chip is just a mini-golf swing. Crummy quality on an old video, but this should get you almost all the way there:
If you are hitting the ball fat or thin, it's almost 100% the case that your weight is too far back at impact. You have to force yourself to transfer your weight and get the club moving in order to guarantee good contact.