I use ultrasonic cleaners in work quite a bit, and have also used them for cleaning bike parts and tools, so here are some thoughts from that:
- Anything made as one part (cookie cutters, some sculpting tools) will almost certainly be fine.
- Where one part is moulded over another, or if they're screwed together, probably fine.
- Paintbrushes may well suffer, whether crimped with a metal collar or with bristles moulded into the plastic.
Note that you should fill the bath with water, and put your tools in an inner vessel (glass jars work well) in which you may use water (with or without detergent) or solvent. Don't put flammable solvents in the bath itself (unless the instructions explicitly permit this - very rare) and don't get the bath dirty.
Note also that for things like paint dilution matters - whether or not you use ultrasound, a mixture of paint and water can still gum up brushes, so you might find that the ultrasonic bath makes a good start but you still need plenty of rinsing.
Some loosening of dried-on (but not really stuck) material is to be expected, but you'll generally need to use a compatible liquid, which could be water, brush cleaner etc.