My J type was engaging and disengaging randomly ,(even with solonoid disconnected), would be after a while when driven from cold.
Dave Twigger, O.D stuff, in Rugby advised probable issues with solonoid and maybe pressure relief valve, O rings. (PRV valve O rings, very fiddly job)
Replaced O rings in both and was fine for about 8 years, car in regular use, though not high mileage.
About a year a go had OD not disengaging after a bit of M way running.
Went straight for solonoid. Not clicking when shaken. Cleaned out and replaced O rings (though seemed ok), whilst I was there.
A bit above my head about how they work, just my personal experience.
Oh, one other thing I read recently (not mentioned in my previous, extensive research, I don't think), there is apparently, a narrow oil channel/drilling?, in the righthand side of the solonoid housing, that can get easily get blocked with small bit of crud.
Oh, Oh. I lubed the solonoid bottom piston thingy first time, though left dry this time, as I think the lube maybe got hot and dryed, out making it stick?. Who knows?