Does anyone know if this TRV will work with a single pipe steam system?
That is hard to say, if we have to guess, what system you have…
I don’t think thermostatic radiator valve is suitable for this system. In your setup, you need to rotate multiple times to release the steam but trv is running in micro levels.
Probably no because you must have thermostatic valve on radiator. By the picture you send its seems to me that you don’t have thermostatic valve on your radiator.