Sorry, I'm adding
another reply as I re-read and realised this point was interesting too. I hope I'm not derailing this too much but I don't get to speak openly about CZ stuff with people so when it pops up on HN I get very interested. Re BLM, this one is a bit of a mixed bag in my experience - the categories I see are:
1. people who are on-board with BLM (most/all of my friends)
2. people who naively take it on face value that there's no explicit laws against people of colour, there is no problem and the idea of systemic racism is just stupid reactionary western[0] snowflakes being a bit try-hard
3. people who believe they are sort of post-racism - they can crack racist jokes because "I don't see race", oof
4. far right wingnuts, the same stripe as everywhere else (US, UK, Germany etc) - no more numerous here than elsewhere
5. people who don't really understand - they're relying on second-hand explanations which are often badly explained
I am curious if this is the same as what you have observed. I feel like #2 and #3 are misguided but not beyond help. #5 are really interesting, it's easy to miss that the majority of the population are completely at the mercy of whatever interpretation or translation they've read, heard or watched. One instance I am aware of was someone in the comments of idnes on FB or something with an "ALL LIVES MATTER" banner on their profile. My friend engaged her politely to figure out what was going on and was kinda shocked. This was a person with a disability who'd completely sympathised with the BLM movement, and wanted to show solidarity. Keenly aware she wasn't black and possessing only rudimentary English she had seen "all lives matter" mentioned around the internet and decided that was a good statment to use. It never clicked for her that it was a reaction against the BLM movement rather than one in solidarity with it. Maybe this is obvious but it was a bit of an eye opener for me.
Anyway my general feeling is that I don't think Czech Republic is more anti-BLM (or more racist) than other European countries. Certainly the anti-BLM protest here in Brno had people numbering in the dozens (20-ish?) and were countered by crowds in the hundreds. It is easy to be a bit shocked at attitudes here towards these things, but I think or maybe hope it's down to some people being a little naive or sheltered. I think that the right person spending 15 minutes talking could turn most people around on the subject. Maybe :)
[0] = I haven't heard anyone here refer to "westerners" in English or Czech, but there is definitely an attitude of "you guys over there are too sensitive sometimes". I couldn't think of a better term for that general idea, it wasn't meant as a slight.