Which plaster carrier board, if insulation does not matter?

For aesthetic reasons and weather protection, I want to have a shed made of OSB boards plastered in the house color. Since it is just a shed, insulation does not matter at all, but apparently you cannot plaster directly on OSB, so a plaster carrier board must be placed underneath.

Can I simply attach 2cm Styrofoam boards from the hardware store, or does it have to be something special? The hardware store with the two o's in the middle has, for example, the following selection:

[*]sw*sspor multi-purpose insulation board EPS DEO 100 x 50 x 2 cm, €1.10
[*]sw*sspor multi-purpose insulation board EPS WI/DI 100 x 50 x 2 cm, €0.90

Since I have absolutely no idea:

[*]What is the difference between DEO, WI/DI, ... and which thickness should I choose?
[*]Do I attach it with Styrofoam adhesive, or is it screwed on, or ...?

HWL board screwed with insulation anchors

That looks good, but of course it is considerably more expensive. What thickness would I need there, are the thin 8mm boards enough? Since the substrate is wood, I would probably need insulation screws instead of insulation plugs. Would it possibly be sensible or even feasible to build the shed directly from (thicker) wood wool boards and omit the OSB? The disadvantage would probably be that the board is not as stable and you cannot attach heavy things to it...

The 8mm boards are completely sufficient. Fabric must be embedded fully across the plaster anyway. You are right about the insulation screws / insulation washers. The anchor does not belong here. HWL boards are not suitable as a load-bearing layer of a wall, not stable enough.

Thank you for the response! That already helps me. Since it is still a slight price question (I would need 45m2), what speaks against the above-mentioned Styrofoam boards or explicitly for HWL boards? The final price for that quantity would be about €400 versus €100.

... in case anyone is still interested, I ended up using 3cm styrofoam boards, for the base 2cm perimeter insulation boards. Attached with mounting adhesive from the cartridge. The plastering went smoothly without major problems and it looks fantastic, like a solid building. The summer temperatures have been successfully endured, now I am curious how it will hold up over the winter.