James,
Even though this thread isn't about presses because Pavel said on the blog, "You are on your own with your upper body work", I'll indulge you're question the best I can.
I rotated PTTP and ROP in two week blocks a couple of years ago, I used 5,3,2 for the deadlift and used the side-press (SP) with the long bar. For the SP I found that I needed more volume, sets, and sometimes wave the intensity to progress to a heavier weight. This worked so well. Why did I change? Shiny objects!
This is an example of my SP rep/set scheme I did a couple weeks before I tested my PTTP lifts.
I started with the less strong arm as a limiting guide, then the stronger arm. Rest was about 3 minutes between sets. Important: Leave 1-2 reps in the bank after every set.
Week 14:
70lb SP x 5,3,3
70lb SP x 5,4,3. After this practice day I thought of adding another set to progress. I'm a slow learner.
70lb SP x 5,4,4,3
70lb SP x 5,4,4,4
70lb SP x 6,5,4,4
Week 15:
70lb SP x 5,4,4,3
70lb SP x 5,5,4,4
75lb SP x 4,4,4,3
75lb SP x 5,4,4,3
75lb SP x 5,4,4,4. Here I decided to end my PTTP cycle and test even though I wasn't stagnating. In hindsight, I should have kept going with PTTP as long as I was progressing.
Warm-up on test day:
65lb SP x 2/2
75lb SP x 2/2
Test:
85lb SP x 1/1 (PR)
The next day I tested my kettlebell clean & press after doing the ROP ladders with a 32kg:
Warm-up and tests:
32kg C&P 5/5
36kg Loaded cleans 2/2
36kg C&P 3/4 (PR)
40kg Loaded cleans 2/2
40kg C&P 1/1 (PR)
So, you can see, if you are familiar with the ROP and its use of ladders with high volume, the ROP has a lot of pressing. I was able to PR at a greater percentage with the ROP, 125% working intensity versus the lesser volume and time with the PTTP rep/set scheme that I used with a PR of 113% of the working intensity. Even though a PR is a PR, "To press a lot, you must press a lot." - Russian weightlifters' saying. Pg. 133. Enter The Kettlebell.
Everyone's different, but principles are universal. Experiment with your own numbers on the OHP. Stay strong!