Your remote is very forgiving. Mine goes into angry, bitch, and complain mode at 2.95 volts. The batteries should be above 3 volts.
Re read the old threads. You want brand name 2032's in these remotes. Being in the US, I only use Energizer or Duracell 2032 batteries in the VW remote.
Yes, there is a difference. I have tried the other brands. Generic stuff usually made it 30 to 60 days. Some of the less brands would make it 6 to 9 months. I got tired of playing mess with the fracking remote battery, started using the two brands above, and get 2+ years before I need batteries again.
I don't normally notice much of a difference in batteries, but these VW remotes are picky.