Dust and humidity can be an issue with any camera, those that are weatherproof, when used with a suitable weatherproof lens, have less of a problem.
The presence of a sensor-shift stabilization has no impact. What you should know is that the majority of cameras have a mechanism to shake the sensor which in fact used to remove dust! Others shake the sensor to compensate for movement, simulate an anti-alias filter or capture super-resolution. This adds features and obviously requires more movement latitude but most sensors do move. There are a few cameras which have a fixed sensor and use a hot-filter in front of the sensor to prevent dust from entering the sensor area.