In my immediate case: Kegs get 3-4 weeks at 34°F before going into the keezer for ~2 weeks at 40°F to carbonate before tapping. Lately I'd been fining at racking (but not the last two kegs in the pipeline,) and the fined batches retained a very slight, but to me infernally annoying, degree of haze, which lasted through the (short but happy) life of the keg. Yesterday, mulling over BrewBama's observation quoted in my OP (which had initially prompted me to omit finings for these batches,) I drew a sample of the first unfined batch -- otherwise essentially identical -- which had just gone into the keezer. Crystal clear. I just now drew a sample from the next one that's had just 13 days at 34°F, and it's probably nearly as clear already, about as good as the fined batches have ever been getting. Kegging the latest tomorrow. I'll still be on the regular schedule, but for now fining is no longer SOP.
[EDIT added "at racking" near top to clarify procedure. ]