Work on basement ceiling insulation with stone wool

sorry if I'm bothering, but can I omit the vapor barrier / vapor retarder with the aluminum-laminated variant when insulating the upper floor ceiling?

The same applies to a concrete ceiling from above as to the basement ceiling from above. Insulation material doesn't matter, vapor barrier foil is not necessary.
For wooden beams and drywall ceilings, a vapor barrier on the room side should generally be used.
With diffusion-tight insulation materials like PIR (whether with or without aluminum doesn't matter) this can be omitted. What is important here is airtightness. Drywall without any foils is usually not airtight, therefore I would recommend an airtight foil on the room side / inside in front of the insulation regardless of the insulation material.
For simplicity, then immediately vapor-retarding.

I'm a bit confused, so for me the conclusion. The house is solidly built with a concrete ceiling:
for the basement ceiling and the upper floor ceiling, in my case I don't need a vapor barrier film under the insulation, right?

Yes exactly. Concrete is (virtually) tight, so you don't need a vapor barrier if you insulate on the cold side

The same applies from above to a concrete ceiling as with the basement ceiling from above.

WilderSüden has already said that.
I just wanted to clarify:

Of course, that's nonsense. Correct:
On a concrete ceiling from above, the same applies as for the basement ceiling from BELOW. so on the cold side. Concrete is practically vapor-tight. What is also important here is the airtight connection when there are penetrations. You should also insulate the chimney flue and other massive thermal bridges about 1m high to reduce the influence of thermal bridges.

better / cheaper idea? Insulation anchors?