The divide is fundamentally about choosing what's in charge of your system, the system being composed of your databases, your applications, and your supporting infrastructure (your scripts, your migrations, etc.) To relational database folk such as myself, the central authority is the database, and our principal interests are what ACID exists to provide: concurrent, isolated, atomic transactions that cannot be lost, on top of a well-defined schema with strong data validity guarantees. To us, what's most important is the data, so everything else must serve that end: the data must always be valid and meaningful and flexible to query.
The side that argues for ORM has chosen the application, the codebase, to be in charge. The central authority is the code because all the data must ultimately enter or exit through the code, and the code has more flexible abstractions and better reuse characteristics.
The reason for the disagreement comes down to disagreement about what a database is about. To the OO programmer, strong validation is part of the behavior of the objects in a system: the objects are data and behavior, so they should know what makes them valid. So the OO perspective is that the objects are reality and the database is just the persistence mechanism. It doesn't matter much to the programmer how the data is stored, it's that the data is stored, and it just happens that nowadays we use relational databases. This is the perspective that sees SQL is this annoying middle layer between the storage and the objects.
To the relational database person, the database is what is real, and the objects are mostly irrelevant. We want the database to enforce validity because there will always wind up being tools outside the OO library that need to access the database and we don't want those tools to screw up the data. To us, screwing up the data is far worse than making development a little less convenient. We see SQL not as primarily a transport between the reality of the code and some kind of storage mechanism, but rather as a general purpose data restructuring tool. Most any page on most websites can be generated with just a small handful of queries if you know how to write them to properly filter, summarize and restructure the data. We see SQL as a tremendously powerful tool for everyday tasks, not as a burdensome way of inserting and retrieving records, and not as some kind of vehicle for performance optimization.
At the end of the day, we need both perspectives. If the code is tedious and unpleasant to write, it won't be written correctly. The code must be written--the database is not the appropriate thing to be running a web server and servicing clients directly. OOP is still the dominant programming methodology, and for good reasons, but encapsulation stands at odds with proper database design. But people who ignore data validity are eventually bitten by consistency problems. OODBs have failed to take off for a variety of reasons, but one that can't be easily discounted is that they are almost always tied to one or two languages, which makes it very hard to do the kind of scripting and reporting that invariably crop up with long-lived data. What starts out as application-specific data almost invariably becomes central to the organization with many clients written in many different languages and frameworks.
We're sort of destined to hate ORM, because the people who love databases aren't going to love ORM no matter what, and people who hate databases will resent how much effort they require to use properly.