The video on +p ammo states that is not in saami specs.
they were telling the truth about that, because there is no SAAMI spec for .32Mag+p.
None. SAAMI only has "+p" specs for 3 or maybe 4 cartridges, and none of the .32s are one of them.
If the video is implying the rounds are dangerously high pressure,
because they are not SAAMI spec, they are lying.
Other than the obvious, (you cannot comply with a standard that does not exist), compliance with SAAMI pressure specs is voluntary. Buffalo Bore does not have to comply with SAAMI. No one HAS to. They are voluntary and there is no penalty or punishment if you don't.
I don't use or buy Buffalo Bore ammo. If I want the level or performance BB ammo delivers, I can handload some equivalent much, much cheaper. SO, in that regard, I "got no dog in this fight". But I do respect BB's position, and find it somewhat refreshing in this day and age...
Generally, from what I've seen, Buffalo Bore will not tell you what load they put in their ammo. They will not tell you what the pressure is. THEY DON'T HAVE TO, and choose not to.
What they will tell you is what guns they have tested their ammo in, and that it is SAFE in those guns. And they will tell you not to use their ammo in guns that they have not tested. Understand that "safe" is not a guarantee it is suitable, it only means it is safe.
SAAMI pressure specs are an industry standard chosen to be both safe and suitable in every gun on the market, from the weakest to the strongest. They are not the physical safety boundary though from what I've read here over the years, many folks seem to think they are.
This analogy isn't perfect, but its close enough you should get the point... think of SAAMI pressure limits like the yellow speed limit sign on a curve. It is the recommended speed, and every vehicle that meets the safety standards to be on the road will be safe at that speed. If you're driving something like a sports car, you may be able to safely take that curve at a speed much higher than what is recommended on the sign. If you're driving something with a high center of gravity like a large truck or some SUVs you may not be able to take the curve safely at much higher than the recommended speed. The actual speed that is dangerous on that curve depends on what you are driving and is different for different vehicles.
I mentioned the difference between safe and suitable. Ammo can be safe (not blow up or break the gun) but be beyond suitable for certain guns. An example would be, shooting some ammo in your gun and having sticky/difficult extraction. The ammo is safe, the gun didn't get damaged (nor did you) but its not suitable because the cases stick.
I've experienced this personally, ammo shot from gun A having issues, same stuff from Gun B working flawlessly. Both are SAFE, but the ammo is not suitable for Gun A, and is for Gun B.
Regarding the OP question, shooting .30 Super Carry in a .32 Magnum, ...NO, just...NO!!
Even if the physical dimensions allow it to fit, it is absolutely not suitable, and very likely would not be safe.