Sons and daughters of Russian oligarchs will.
It was always hard and expensive to leave Russia for a first world country, and right now most of those countries are making it even harder and even more expensive than before.
For example Czech Republic, Estonia, Finland, Latvia, Lithuania, and Poland, (most of which share a border with Russia) banned Russians from entering the countries outright, regardless of purpose, greatly limiting options for leaving Russia via land.
Other countries introduces other restrictions, like directing anyone wishing to get a visa to their embassies in Moscow exclusively. Which is a bit of a problem, considering the size of the country.
Oh, an of course there are inherent restrictions due to the visa facilitation agreement being suspended.
The article above makes it pretty clear Russia is interested in preventing international cooperation. So I wouldn't expect things like joined research endeavors or exchange programs to be common, if allowed to happen at all.
So, how does any of that facilitate brain drain, exactly?
You do realize that crossing a border is illegal, even if there's no wall, right?
First: leaving Russia without a permit is illegal and punishable by fines and/or prison.
Second: Entering any country without a permit is illegal and will get you deported and banned from entering it ever again.
Merely being Russian does not grant anyone asylum rights. Poland and the Baltic states, for example, won't consider any asylum requests, even from persons who are being conscripted. At most, the process can be slowed down with appeals to last a year or more, but it will, almost certainly, end up in deportation back to Russia, followed by Russia prosecuting the deflectors.
Even North Koreans get deported back to NK, despite the fact that the country is considered to be hellhole by pretty much everyone, everywhere.