I was in the army for quite a few years in combat MOSs'. I varied in bodyweights from 235(upon enlistment) to 193(the day I left).
When I first enlisted I was a competitive Pler. I did 103 pushups, 90 something situps and ran the two mile in just under 15mins and thought i was going to die at the basic training PT test.
Years later in my military career I ran several marathons(to include the pikes peak) and kept a bodyweight in the 190s. I was able to maintain a 300lb bench my entire time. That came down from 355(competition bench) when I enlisted, but I was also running 12:00 two mile at the lighter weight and averaging 8:30 per mile for marathons. I know that is not super.
I gave up squatting entirely(Not Fun) but continued to do hindu, other bodyweight, one leg, and rucksack squats. I lifted upper body once or twice a week, but mostly climbed ropes, and did pull-ups. I never did one pushup in my free time and still average 90 pushups on the PT test, just from benching.
It depends on your MOS whether or not you can lift weights or would get any benefit from PHs. If you are in a noncombat MOS and only run for PT test than why not? Just make sure your cycle and the test dont conflict.
If you are in a combat MOS like I was, I found more benefit from outside the gym and not really from having a ton of extra bodyweight. Unless your only job is assaults, where being the size of the door you are busting through has some benefit. Then I would stick to test cycles and try to avoid back hormones that cause pumps. I had a lot of friends who were on and most of them suffered from the extra weight in the feild.
I never saw the benefit of a cycle when everytime we do a week of training you cant eat right, not to mention when u go to a school and lose 20-30 lbs due to starvation.
Take the army as a profession and train to be more effective in combat.... a balance of strength and endurance, which will makes you sacrafice some size. I would rather be really good at runnin and rucking, then half ass in the gym. And trust me, I love the weights... am almost up to 250 now :).
Good Luck. Stay Safe.