Unless BLP has changed their theory, no.
BLP claims that a NORMAL electron can occupy fractional quantum energy levels BELOW the standard "ground state", and that a normal electron can be "catalytically" caused to drop from the ground state into such a fractional quantum level, giving off energy in the process, with the catalytic energy needed to trigger the process being much less than the energy given off.
The BLP process does NOT involve the nucleus, and the energy per atom is much less than fusion would supply.
A "heavy electron" (which is what a muon is) is known to allow NUCLEAR reactions to take place. Muon catalzyed fusion is well known and well accepted.
What this (and similar) new theories posit is that there are other entities/conditions available in the solid state that can cause a normal electron to behave like a muon.
I haven’t read BLP’s theory in a while but what you wrote sounds like it.
So, in your opinion, does BLP have anything?
What about BLP, Mill’s TOE?