See this thread about TI CC2520, a 2.4 GHz radio:
https://e2e.ti.com/support/low_power_rf/f/155/t/16454.aspx
Is it a related type of problem?
According to that link should impedance matching at least for first harmonic be high impedance matched (reflective) as it affect TX efficiency. My practical tests with CC2520 shows that also. It can be a difference in the range up to 6 dB output power at 2.4 GHz for same power consumption depending how the circuit is matched at 4-5 GHz. Impedance matching at 2.4 GHz for finding best power efficiency is not any big problem but the combination of a matching that also result in low radiation level of harmonics can be very challenging, especially if working with unshielded matching network where inductors easily becomes antennas.