I think their browser extension offer just that functionality, but I haven't used a VPN in quite a while. But I think your approach with two different browsers

I think their browser extension offer just that functionality, but I haven't used a VPN in quite a while. But I think your approach with two different browsers has an advantage too: It's much easier to differentiate by just memorizing that chrome is for VPN and Firefox isn't. You're less likely to accidentally browse to some website where you want to circumvent geoblocking without the VPN enabled. Thanks to cookies they might then perfectly know your actual location. I used to use a VPN for YouTube before they signed an agreement with GEMA and occasionally didn't enable the VPN and after a while Google tagged the static address of my VPN as German although it was in the US. Although you probably won't run into this problem when sharing the endpoint with people from all over the world.