Yep. Triple conversion is good for hiding images and birdies and such, math things. But it won't help overload issues. For that we need a wider dynamic range front end and such to the first mixer. A single device first (often only) amplifier trying to apply massive gain can go in to clipping and/or create a variety of harmonics when it tries to amplify an already large signal.
These radios (WS1040, Pro-197, family) input goes through the attenuator, then 5 switched band pass filters. But since the air band starts right at the end of the FM broadcast band and that filter cannot be razor sharp, certainly some FM stations will leak through. From there it hits the front end amplifiers, one for below 512 and one for above 760. The amplifiers are a single transistor, plus some switching of elements to cover wideband. This heads to the first mixer. Overload potential is pretty good. Especially when you try to cover such a wide range all sorts of mixing products are probable.
I get clobbered here at home. I'm 3.5 mi from a 3kW FM and 1kW Weather Service station (same tower), plus several VHF at 45Watts or more inside 2000 feet. When any 2 of the VHF stations come up at the same time, which happens frequently since one is very busy with data, I'll hear the said 2 stations and the weather all mixed together. It happens on 4 different radios.
I guess I could get an Icom R9500. It's only $13000 without P25. Heck, I'll get two.