The ruble has declined and the Russian stock market has been closed all week. Russia has been sanctioned. Russia is sending people to fight in a war. There are rumors (whether true or not) that Russia is planning to close borders, impose martial law, etc. Those are all verifiable facts.
In the face of the above, of course people are considering leaving Russia. That is just smart and human nature.
EDIT>> This is wrong! I am able to confirm the Google Trends data now.
On one hand I do agree that there is a lot of propaganda on all sides, so one should be especially critical about data sources.
On the other hand, I think then that using Google Trends data for this is a pretty excellent source for this data, and a prime example of something that would be difficult to game. It's publicly available, so anyone can verify it. I guess a true conspiracist might think Google is faking the data, but that seems extremely unlikely and bizarre, given that there are whole swaths of terms you could search for to make similar points.
You may reach a different conclusion based on what a 4-5x increase in "Visa" searches means, but if anything this would be an example of data I would have a ton of confidence in.
The other thing that is great about Google Trends data is that is essentially a window into "things people are actually searching for when they think nobody is looking." Yes, I realize the irony in that every Google click is tracked, but you'll get much more "honest" results looking at Google Trends data vs. plain interviews. For example, the country with the highest volume of "gay porn" searches per capita is Kenya, a country that is pretty vehemently anti-gay. The reasoning behind that is open to interpretation (I suspect many people are just genuinely curious given images of gay relationships in the media are so much less acceptable there), but for a society that basically deems gay sex extremely deviant, there sure are a lot of folks interested in what it looks like.