The Qansheng's that I've tested have been fine, first harmonic down 44dB, which is OK for the FCC.
However, if you hack the firmware and transmit outside the bands the radio's RF is designed to transmit on, then you will probably see all sorts of spectral weirdness.
Another issue is people were “testing” them using an RTLSDR which very easily gets overloaded and shows harmonics where there are none. Even my local FM station shows up on my SDR at frequencies I know they’re not actually transmitting on.
However, if you hack the firmware and transmit outside the bands the radio's RF is designed to transmit on, then you will probably see all sorts of spectral weirdness.