As there are many ways to skin a cat, I’m not saying you are wrong, but I just have some questions:
Why not just tack event training to the end of a session? Make it a deadlift day and do some stones or front squats and sandbag carries, etc. Same goes for overhead and you would just cycle through different implements for overhead work.
I understand having an events day if that is how you plan to structure things, but putting them at the end is always a possibility as well.
Why would you not strict press? If you have a lower intensive event prior to your pressing event and your legs are shot, if your strict press sucks you are literally leaving points on the table. It makes sense to keep push pressing/jerks in a program if needed to practice the skill like you said, but never strict pressing as a main movement seems like a bad idea.
Again, why would you not do this? Most events are for reps (as many in 60 seconds, medleys, etc). I agree you need to be strong, but if you’re only proficient at 3-5 reps, you’ll gas out when it comes to high rep or AMAP in time frame events, again, leaving points on the table. You said you need to practice the skills and rep maxing is a skill necessary in strongman.
If anything you should strive to do both over time, getting stronger in all rep ranges.
While I mostly agree and understand your point (I genuinely cant bench with any normalcy anymore as it destroys my shoulders after having a tear in my left pec a few years back and my overhead press is still progressing), I also see the value in pressing particularly incline and close grip. Both build your press really well and if I could get back to benching somewhat regularly, I guarantee my overhead would go up more.
Again, there are a ton of ways to program your training, but saying absolutes makes zero sense especially when you’re talking about a sport with so many variables.