"Plug-in power" microphones are not considered "professional"
I know what you meant by this, but there are lots of examples of pros using unbalanced lav mics.
For instance the Sennheiser UHF body-pack mic systems are popular and used by many pros, but they used unbalanced plug-in power lavs, including the $400+ DPA and Sanken mics.
I've never experienced an interference issue caused by a short cabled lav mic plugged into a Sennheiser UHF system, though I've had interference from the UHF packs themselves. The short cabled unbalanced mics had nothing to do with the interference, and the newer Sennheiser G3 UHF diversity receivers have helped to minimize this problem.