Thanks for your interest. I think this is covered by the second half of the entry's note: it was almost only served by TPE (except for an odd service) but there is now a full service all day. Or have I misunderstood you?
Probably, a bit of both. Re-reading what you've written in that note, you are correct if you only look at services to/from Huddersfield. When you take the Calder Valley services run by Northern into account, then Northern services do call at Batley Station (managed by Northern) for most of the day - so you are incorrect. The Calder Valley and Huddersfield services have both been running for years, so there was no time when no Northern service omitted Batley during most of the day.
But what you wrote in that note does apply to Cottingley and Ravensthorpe stations, which are both managed by Northern and almost wholly served only by the TPE stopper.
Right reason, wrong station(s). I checked with RTT in case I was going mad(der).