Grodz - I use the compressed gauze for heavy bleeding or non-aerterial punctures. I was taught to push the gauze into the wound (use your finger to push in the gauze by the corner). Its very good for deep wounds that don't require Quik Clot. I have only used that in Afghanistan, and it was the old stuff that burns, the new stuff doesn't produce heat, apparently. Except for GSW, I can't think of an event that QC would be needed.
I always have medical tape and elec tape in my pocket. Med tape for cuts or hot spots on the feet and elec tape / gun tape for fixing 'stuff'.
As for the size and contents - my belt kit and truck kit contain all the same. My truck acts like my 'store' for the extra med kit that I can't / don't carry. Its a standard AMA type with my added torniquet, Israeli's, QC etc. My belt kit is 4"W x 4"D x 6"H, its from First Spear. It's simply a small pouch that is stretchy and open sided, with a looped roll insert that is velcroed and snapped inside. It's designed to pull out the insert one-handed, exposing all your med stuff in the elastic loops. It is called the 'Self-Aid Medical Pocket with Insert'. That one goes on my belt when in the field and in my hunting pack when hunting.
My pocket kit is 4" x 4", like a small cigar case of soft plastic. It only contains normal cuts, bites bandadges, iodine and Motrin / Tylenol / Asprin. I do put in one pack of steri strips and one pack of gauze. This one is for when I am with the family and we are not more that and hour or two away from the truck. If longer than that or fairly remote and rugged, I'll put the belt pouch in my Umlindi.
Hope it helps, hope you never need it.