Seems a bit unreasonable to categorically deny every Russian a European visa under the premise they're a Putin stooge. I'm unsure if this is what the EU is proposing, or whether they're proposing an extreme vetting. My research into this issue is bare. I'm okay with the latter -- in fact I think any country should employee extreme vetting when handing out visas.
It makes perfect sense for all NATO countries to deny entry to all Russian citizens.
Not only that, all pro-Russian supporters must be deported from the NATO countries.
NATO needs to prepare for war with Russia. Any nuclear fallout on the territory of Ukraine will be an attack on neighboring NATO countries
and will invoke Article 5.
Russians who want to leave Russia can go to Georgia, Kazakhstan, UAE, Africa, or South America and ask for political asylum there.
Alas, Georgia has closed entry for Russians, and I think that's right. Let them create an internal opposition if they don't like Putin's policy, and don't throw it off at other peoples.