The USMC has pullups on the PFT. The ability to "pull up" is much more useful than "pushing up". The person may want to pull himself up into the truck, carry (biceps) a load, pull food up into the tree with a rope, pull a buddy out of harms way, pull himself up a cliff, pull up his pack, pull himself up a dirt bank out of a creek (temp 28F)at 0300, climb a cargo net, etc.