Having been on this site now for what seems like a thousand years I think I can say that most people prefer the BM clean over the standard 3rd 4th generation amps.Dumble might have also given he used it in the Ultraphonix amps
I would contribute this mainly to the hotter Marshall style PI that has more gain (less balanced) and a lot less GNFB wrapped around the power amp. The effect is a more dynamic open running output section than the earlier standard 24k tail version that was better balanced had a cleaner,smoother sound. Many of those amps also had the LNFB on V1b (TS Recovery)which gives you a cleaner flatter response. IMO the tone stack has some effect on gain but not as much as the PI seems to provide. Since the PI is a Marshall style it's going to give you a Marshall-ish type personality and of course couple this with the 34's well there you go!
IMO the BM is in it's own right a nice amp however I wouldn't necessarily put it in the "Classic" Dumble type sound as we might think of say early Carlton, Ford, Lindley, Vito, etc etc. Also IMO during the late 80's early 90's the JCM 800 sound was dominating the studios of the day and being that Dumble had to cater to the sound of the times came up with the BM to provide a product to appeal that clientele so the BM was his response. I, for the most part, would put the 2 earlier and later BM designs in completely different categories. For those Fender cleaner type players build the earlier 2nd 3rd and 4th (Classics) generation amps and for you Marshall JCM type players that want a slightly more aggressive dynamic sound with more gain then build yourself a BM and load it with the 34's and go with the Marshall style transformers and voltages.
You can, of course, start to combine different elements of both amps by swapping tubes and transformers and land you somewhere in the middle although I would recommend sticking to the parts that enhance the direction you want to go in be it a Fender style or Marshall style and if you like both then build both amps and stick to the script (Layouts) That way you have sound and direction you are going for vs combining different parts and circuits together and hoping you might maybe like the end result:? "Maybe you will, maybe you won't?
Been there done that
BTW. If you want an amp that is sort of in between a BM and a Standard?.. build a #183
Tony