Just my opinion, but I think that rule is written very poorly and IMO probably needs to be revised. I think the spirit behind it was to prevent spammy-type PMs, but come on--how many PMs do you receive that you actually asked for?
I get appeals to remove feedback, requests for my opinion, and all sorts of other stuff in my PM box that I didn't specifically ask for, but I wouldn't report any of that stuff to the moderators. The only PMs I do report are the spam offers to take part in projects and those kinds of things, and there's a world of difference between those and the other ones I mentioned above.
My understanding is, you are not to be pmming companies offering your managing services. You are not to be pedaling your digital or physical good via pm. You are not to solicit anyone period unless they specifically ask for offers in a thread or via pm from you. Is my interpretation correct?
I think your interpretation of those specific types of PMs is correct, although I'm not sure if I'd find an offer from a campaign manager to someone who might be looking for that service to be spam--though it's still against the rules as they're written.