I agree, it does look like 1928. But not long ago I had extensive discussions about this cairn with a Gritstone Club member who has access to his club's archives. The inscription is chiselled into fairly coarse gritstone which is difficult to work precisely but he confirmed the date is 1923.
Whilst we're on the subject of cairns on Little Ingleborough, the following may be of interest. There is a solitary stone pile cairn beside the vague path up the NW side of Cote Gill from Newby Cote. Before he died my neighbour, called Roy, used to walk up that way frequently. He had been a fit bloke in his time; he'd successfully completed the Bob Graham Round in the Lake District, for example. When the NPC held a marathon run around Ingleborough in 1982 locals were invited to join in. Roy said he'd "have a go" but at the time none of us knew anything about his awesome fell running abilities. (This was before I moved next door to him.) Needless to say he blew most of us clean away.
Roy was a great bloke and an excellent neighbour. I rarely saw him ruffled by anything but one day he returned from one of his walks absolutely livid. He'd found that the cairn beside the path up from Newby Cote had not only been demolished by persons unknown but all the stones had been carried away. We couldn't work out why anyone would do that and we agreed that whenever either of us was up there we'd collect a few stones and start to rebuild the cairn. So, bit by bit, the cairn started to be reassembled.
Then Roy became seriously ill and sadly passed away not long after (in January 2020). By this stage the cairn was half rebuilt and I decided to finish it myself, for Roy. (I did this during the Covid lockdown when we were allowed to have one period of exercise.) It's still there and is now known to many locals as "Roy's Cairn".
I often pass it when I'm out for a run and it always brings back happy memories of him.
So there you go; that's the story of the "other" cairn on Little Ingleborough. It commemorates a proud Dalesman, who was an accomplished fell runner and a thoroughly good sort.