A distinction that may seem like pedantry, but I think is actually the crux of the issue I've had with with ORM:
The problem is not in treating entities in the database as entities. It's in treating instances of classes in the application's memory space as local proxies for those entities.
You're on much firmer ground if you understand them as simple pieces of information derived from the state of those entities as of some point in time. Both in terms of ending up with a more internally consistent and robust approach to data (by virtue of removing some temptation to preserve an illusion that this data can be presumed to always be complete and up-to-date), and in terms of not artificially cutting yourself off from most of the power of the relational model.
You're right that this tension is somewhat resolved by just switching to using an object store of some sort. (NoSQL is far too diverse of a subject to treat as a single unit.) But it's a very particular sort of resolution, because it's a sort of least common denominator approach where you just drag the data store down to the level of the programming model. It strikes me as akin to resolving the difficulties in maintaining complex software in Perl by resolving to never let anyone write anything more powerful than a shell or CGI script rather than by looking for a language that will better support you for the long haul. It can certainly be a fine and reasonable choice. The problem comes in when people don't fully realize that that's the choice they're making.