Below a certain level I mostly agree with you. One company in my past didn't work this way, and one too many pages in the middle of the night for a business I wasn't personally invested in made it an easy job to walk away from.

That said, there is a level of seniority at which "their problem" is "your problem." If you'd chuck the business out the door rather than getting paged a few times a year, you're not ready for that level yet. This varies by company and organization size, but fundamentally you can't (and shouldn't try to) anticipate everything up front. Sometimes you need the knowledge, judgement, or simply signing authority (literal or metaphorical) of someone specific.