If you want to drop these into a Clarinet you will need a different transformer or an additional 12v transformer to give you the correct H+. This is easy but its not a simple tweak to the current configuration.
The reason to attempt a 12BH7 in my line of thinking is if you require more gain. These are basically two 12Ax tubes stacked one on the other. These tubes require twice the heater voltages and a beefy H+ power supply.
I gotta leave for work, so here's the short version:
I think some folks are confusing current and voltage; voltage
drops across series elements and current
splits among parallel branches. So if two heaters are in series, the same current would travel through them (say 150mA), but the voltage across them needs to increase (12V). If they are in parallel, the current would need to be doubled (300mA), but the voltage node formed would only have to be 6.3V. So the question with the Clarinet is whether there's enough current in the heater supply for a tube with twice the heater current requirement of a 12AU7 (such as a 12BH7).
To address why one would want to use a 12BH7 is a matter of preference. I know some tube nuts (don't we all) who
swear the higher filament current tubes sound better. And if you look at the curves, the 12AU7 and 12BH7 have similar operating points, so resistor changes in the signal circuit are not needed. Thus, if you can meet the heater requirements, the 12BH7
is a 12AU7 variant as far as tube rolling is concerned.
The mu of a 12BH7 is 17.7, whereas a 12AU7 is 17.5, so a gain difference that small is not noticeable. I personally have performed this substitution in another circuit and did indeed prefer the 12BH7. YMMV.
Happy new year.