Unfortunately just because the single component relies on quantum effects does not have anything to do with quantum speedup in computation.
Quantum computation exploits entanglement in larger scale than normal. The whole computational state must be entangled quantum state. Separated quantum effects result just classical computer. The quantum circuit must be carefully arranged so that the interference pattern yields the result you want.
Also, entanglement doesn't need to be perfect. You can have 1% entanglement too and have that propagate over time and operations. The question is whether an evolved circuit can figure out pathways to use that little bit of entanglement in ways that our understanding doesn't quite admit .. in much the same way as a digital FPGA designer wouldn't think about using not-gates as antennae.
An unreliable circuit achieved this way would also be interesting I think.
If you put an antenna or something next to it there was a good chance it would stop working properly for example.
This is wholly different from how we view computer programs today. It may work, but you'd better have a good application in mind, otherwise you'll get laughed/shooted out of the room.
PS: I don't have the expertise to make a strong argument here, but it seems like an intriguing idea. Anything fundamentally against it?