I've done lots of PTTP side pressing. PTTP programming worked fine, but I could see a lower frequency/higher volume approach working too. I don't think the side press needs to be programmed differently from other presses.
the side press with balancing an olympic barbell is a completely different beast to regular two handed shoulder presses or KB presses, much more effort, whole body, and co-ordination involved.
Not really. In some ways the side press is LESS strenuous than a one arm military press with a KB or DB. The long bar is actually more stable than a KB or DB (and a KB is more stable than a DB).
The key is finding the right balance point to grip the bar. Instead of trying to center your hand on the bar, center a point at the base of the palm below the pinky finger. In other words, more your thumb side toward the collar and the pinky side away from the collar. Experiment to find the spot that balances right for you and you will eventually learn to find that spot repeatably by feel.
When you grip the bar at the right balance point, the bar will just sit there and be very stable, even if you grip it loosely or open your hand. It's almost like pushing the bar up and down in a Smith machine.
Another reason the side press is less strenuous than the MP is that you can support the bar with your lat and push it away from your/push yourself away from the bar to get it started, and you can finesse the sticking point by using body lean. This make the side press very shoulder friendly as well. You have a lot of wiggle room, literally and figuratively, to wedge under the bar and find a comfortable groove that avoids any impingement (although there is an increased demand for external rotation compared to a regular MP).
Of course, this means you can use more weight, but pound for pound, the side press is easier than the MP because it is a hybrid press/support lift (compared to an MP being a press and the bent press being a support).
BTW, the traditional by the book side press specifies locked knees, but the PTTP version allows for a bent front leg, which I prefer and use. This gives you a lot of options as to exactly how much lean you use, from almost an MP to almost a bent press.
To get the bar into position, you can take it off a rack at shoulder height, or one arm snatch or jerk it overhead (you can also use the off hand to assist with this) and lower it into the starting position. I find that lowering the bar (imagine actively pulling it down) before the first rep makes it easier to get really tight and find a really good starting position.
PTTP describes shouldering the bar into position from the floor, but I have never actually done it that way. One of the parameters of PTTP is that you only need a bar and plates (hence the side press or floor press instead of the bench press or MP off a rack), but that isn't something I feel obliged to stick to.
But how would you program the weight?
The PTTP programming for the DL is pretty straightforward. But how would you increase weights from workout to workout for the SP? 5lbs per sessions seems like a bit too much, doesn't it? the 5/3/2 rep scheme seems fair enough.
I've done straight PTTP 100%/90%, although this can be a little problematic if the empty bar is at or near your limit. I've also used 54321 with a constant weight for all sets. A 4 steps forward/3 steps back structured wave cycle works well, but you do have to back cycle a lot. Your max will not progress anything like a big lift such as the DL, so there will be a lot of repeating. A step cycle or Easy Strength approach can work too.