Inertia-type bullet pullers will generally work on pistol and rifle rounds, although there are a couple of auto pistol calibers at both ends of the size scale that generally don’t work - small cartridges with very light bullets like .25 Auto don’t work well - in fact for me, not at all - and there are a few large pistol calibers that simply won’t fit the collect or tube well enough, or at all, to work, as I recall.
Regarding rifle, I suppose the same could be said. Much more important with any cartridges is that you know exactly the cartridge (projectile) type before you use one of these devices. There are bullets that when pulled with a hammer-type inertia bullet puller will blow it to bits, perhaps along with part of your hand. CAUTION is the word here.
I have an RCBS version of it. Great company with no BS Warranty. You are correct, though, in your observation that many of this type of bullet pullers are almost identical with each other.
By the way, sometimes a normal looking bullet simply doesn’t want to come out. I actually broke one of these bullet pullers, which are plenty rugged, by the way, trying to pull a Frankford Arsenal .45 Auto tracer. The inside neck bullet sealant just would not let go. Nothing worked with that one. Occasionally, if a bullet won’t pull, I will put the cartridge in my nylon-jawed vise and very carefully break the mouth seal by pushing the bullet back into the case a little, and then pulling it in the inertia bullet puller. This method has never failed me, but must be done carefully. I like the vice because you can push the bullet back in with almost micrometer precision. If resistence is too great, I simply don’t go any farther. Most people with any familiarity with tools will have a feel for what constitutes “too great” in these instances.
Again, know the cartridge you are fooling with! If you aren’t 100% positive of the load, don’t pull it, especially with an inertia-type pullet.