Confusion about snow chain release…

Does anyone know exactly how that works with this crazy snow chain release? So what I’ve read so far there are some from the manufacturer of the vehicle and which from the chain manufacturers. The car manufacturers, however, are somehow extremely stupid to have the feeling. One reads for example very often this with older VW and Audi, i.e. also with my, chains are only allowed with rims up to 6J. But this is probably the most senseless reference that one can look for. te. I find the thickest tires for 6J rims and pack the chains with the thickest limbs on it and for that I have a clearance but for appropriate tires and a fine link chain that needs little space I get no clearance because the rim, whose pure width so without ET and tires still says nothing about the space for the chain, ne 6.5 or 7J is one the car where you can not get anywhere else or chains are not mandatory anymore? Unprobably that I ever welc he will need, but I’m interested in that. Do you really have to buy extra mini rims so that you can still make snow chains on older cars or can you also after the approval of the chain manufacturers, which at least already depends on tyre dimensions and not on Voodoo over the rim width? Or can you also get e.g. with the TÜV ne wheel chain combination after demonstration or something like that? What would the consequences simply be without the approval to drive if now it just Just fits?