But it
is true, much much more often than you probably realize. Just look at your tables and think about how repetitive they are. The reason you can't come up with a lot of "column-based" (as you put it, which is still narrow-minded IMO) operations is because you've never looked for them before. Of course you haven't: you've been stuck in the traditional mode where such things are basically impossible.
Do most of your tables have Name / Description type fields? Here's some "column-based operations": Allow translation of everything in your database. Generate natural-sounding text in a report, inserting these names and descriptions (from multiple different tables, of course). Free-text search of all your important database concepts. Detect similar names to the one the user is wanting to add, to prevent duplication. Clean whitespace. That's five off the top of my head.
Do most of your tables have Archived / Status / Soft-delete type fields? Allow a user to archive a record. Choose whether to include archived records in a query or not. Delete archived records after X days.
Do most of your tables have Comments fields? Allow multiple comments. Track who made a comment and when. Track responses to comments.
Do most of your tables track who last modified the record? Track all modifications. Show a list of recent modifications to any records.
The list goes on and on and on. You call these "column-based operations", which again, is short-sighted. They're more like "concern-based operations". And it turns out everything is a cross-cutting concern. You're shooting this idea down without nearly understanding it.