You do need to allow some time for "SG lag" and also time for the electrolyte to cool down too. One blurb says to do the overcharge till SG stops rising, then put on float for three days then take the SG.
OTOH, it is very interesting how much diff you get going to 16v from 15.7v . Mex was saying longer time at a lower voltage won't help, IIRC, and that small diff in v going to 16 makes it happen. As proven here by the OP.
OP and Niner make me wonder if I could get the SGs more equal in my T-1275s using 16 vs 15.7. I don't have a charger that will do that. VEC1093DBD is 15.7 Solar-direct will get them higher in voltage but it just keeps zooming up so there is only a very short time you can stay at 16ish with that. Same using the Honda 12v--it wants to go to 17. Those batts are still doing ok as it is though.
It all makes me glad I don't have AGMs. It would give me fits not knowing what is really going on with them with no hydrometer. You have to be braver or more trusting to own those! :)