Perhaps in the desperate eyes of a fan who tryhards a little too hard to make this seem any less ridiculous.
Except for the part where both concepts incorporate organic matter in some form, they have virtually nothing in common.
You might as well say that a warp drive is based on steam engines because they both have pipes.
I'll ignore the slight against me this time.
You're creating false equivalencies with your 'might as well say ... both have pipes' comment ; as @Tuskin38 has also pointed out: What's wrong with running on bio-fuel or plant based fuel instead of the standard anti-matter/dilithium technology we have become familiar with. The Romulans experimented with a singularity to power their warp drive in contrast to the standard after all.
I merely pointed out that the technology for planet/algae/micobe/fungal fuel exists today - so it's not entirely out of the realms of possibility or, indeed, likelihood, that this could crop up in future as an avenue of exploration. I could even see the project failing based on the fact they appear to have to have a massive arboretum to grow the fungus within on the ships and space on vessels is at a premium.