Radio transmitting 4 watts, channel 20, no modulation.
I did the test on a Siglent SSA3032X with BBIs span with and without an amp. Never saw anything. Using a Bird variable RF sampler between radio and dummy load.
At that span with an RF sampler knocking 50dB off its in the noise +20dBm on the instrument.
Now, if I repeat this and go looking for VCO leakage I see it.
On my guinea pig radio the VCO leaks out at levels around -90dBm. (ch 20, so VCO @ 35.005Mhz) SA connected directly to the antenna. (NOT transmitting, never do that!)
With no attenuation in the instrument the VCO is around -82dBm with the 50Mhz span. Reducing the span to 100Khz I have a solid -82dBm VCO output with noise floor down at ~115dBm.
Found 7.8Mhz down at -120dBm
(with sample port connected, radio in TX obviously, ref levels set accordingly, 10Khz span.)
Seems inline with your observation of "not so good VCO suppression"
7.8 just isn't leaking out in any level to be concerned with and even the VCO isn't terrible. Could be better.
With a 100 watt crap built amp the VCO got brought up around 5dBm.
7.8 was like a couple dBm. it's just so far down there already and I have not swept this amp to see it's frequency response. It may not be doing much at 7.8Mhz despite being capable.
I would still say it's not enough to be concerned with. But whatever BBI has going on I would say is a serious problem. It's not right.