I am surprised the sound waves actually pass through any intervening beaker or pan wall, rather than being reflected from it, making me wonder if the work-pieces are simply being pickled. Any vibrations that manage to negotiate the barrier would almost certainly be attenuated by it.
The ultrasonic cleaner I used at work – itself based on ultrasonics – had a stainless-steel work-basket nearly as large as the tank, and I would never put the work in a solid-walled secondary container unless advised in the operating-manual. Ours did not even mention it; and it is hard to see where it might be "standard practice" unless for some particular make and type of ultrasonic cleaner (jewellery or horology trade perhaps?).
These tools are otherwise meant to be used with the work-pieces immersed directly: suspended, in the basket supplied with the appliance, or just laid in the tank. I would use suspension for small items. All you need do is ensure the additives will not harm the tank.