I know someone that had an MBITR as you describe and he took it all apart, tightened all circuit board screws and related hardware and it seemed to cure the RFI/birdie problem. But there is a published list of potential frequencies that may have internally generated interference. The Thales MBITR is the first multiband SDR radio ever designed to my knowledge and it converts all receive frequencies up to around 1700MHz before digitizing and processing. Its really complicated inside.
The very first commercially produced SDR hand held radio was the Thales MSHR in VHF, which is the little brother to the MBITR. Its also probably the rarest radio you can find for military radio collectors, nearly all were destroyed due to the internal Type 1 encryption. There are a small handfull of these in collector world with the Type 1 encryption removed.
To keep this on topic, some of the cheap Chinese handhelds are SDRs and possibly the radio modules used inside the TCA and TRI look alike radios. If so that and the outside physical appearance are the only things the look alikes have in common with a real Harris or Thales military hand helds. The is nothing cheap or Chinese in the real radios.
Mine was completely unusable on most of the UHF AM I needed and I couldn't squelch it out.
No issues with the Harris which I think is just a better radio overall.