moin apprentice,
"Filzputz 600" is of course something different from "Schäfer-Krusemark lime-cement plaster". The exact material designation is always helpful for technical inquiries in the forum.
But again I see problems: the Filzputz is supposed to be applied according to the manufacturer's specifications on a mineral substrate. A gypsum plasterboard is anything but mineral. They recommend either their base plaster or their great ETICS system as a substrate. But even there, the Filzputz does not come directly onto the insulation boards with which the poor houses are plastered. The prescribed layering sequence is: reinforcing mortar - reinforcement - primer - top plaster. Then you can smear the stuff on Styrofoam or mineral wool. So everything other than a simple and merely millimeter-thin structure. Calculate what all that costs!
Before the "plasterer" without gypsum shows up at your place, you should download the technical datasheets and make sure he also makes his offer according to these regulations. If he wants to apply the plaster directly on a primer, you can intervene.
Unfortunately, I don't know how your bathroom is constructed, how big it is, what ventilation options exist, etc. But if it is an "average" bathroom of maybe 6-8 sqm, in the attic, where everything upwards is nailed shut with vapor barriers, in the worst case no window, then prepare for a lot of steam. In my walk-in shower (open without cabin and splash protection) I can easily saturate 12 sqm x 3.60 m height with steam during extensive showering if the window is not open. The steam goes upwards, is usually hindered by a vapor retarder and buffered in the ceiling plaster (this also includes 12.5 mm gypsum board). The surplus bounces back, condenses on the glass and tiles, which serve as condensation surfaces. The rest now seeks the other surfaces, like plaster. If that is very thin, it cannot buffer anything. It is saturated just from the steam alone, causing material tensions in the plaster. That is why such a plaster must be formulated and reinforced. How well the system then really works, you will see after one year of bathroom use. Light plasters can discolor with daily steam exposure (e.g., yellow tint, dark spots that no longer go away) or even flake off. The steam load is especially difficult to manage in winter, because actually one would have to ventilate by shock ventilation consistently to let the steam out. If that doesn't happen, the steam lingers in all corners for a long time and certainly finds all microscopic holes and cracks in your vapor barriers, where it causes damage in mineral wool & co. that is hard to detect.
In small bathrooms, I would forego plaster near the shower, seal everything with an elastic system and tile consistently, especially if it is a gypsum board miracle. Then you have a target condensation surface, where the condensate eventually lands on the tiled floor and then in the floor drain.