https://en.numista.com/forum/topic28584.html
That is the topic - which I see is 3 Pence, but I guess would be the same. Will make some 6 Pence pictures in a moment. But the BM initials not being seen could still be either coin, as both versions still wear down over time. The original version had B.M. (with dots) in the
middle; the later became BM (no dots) on the right - like you said.

I made those just now with two 6 Pence I have - I chose 1925 and 1927, so guaranteeing those were different versions - rather than 1926 in case I had the wrong sort. I also see the later version has longer teeth (I compared to other before/after dates as well).
Here is a page that shows where BM is in both versions, and agrees with the longer teeth ...
http://www.treasurerealm.com/coinpapers/england/FAQ/oe_vs_me_12d.html