I think the problem with BLM, besides it causing division, tribalism, been politicised & never mind it not actually fixing the underlying issues, is that its a poorly communicated message that is received differently based on who you are.
There are implicit words before it, depending on your view point, which is why we see people screaming at each other.
Black person:
[Why don't] Black Lives Matter
Non-black person:
[Only] Black Lives Matter
Imho that causes a lot of problems. People fear what little they have is going to be diminished even more by BLM, as more "is given" to other groups and so on.
Personally I think it's all less to do with race & more to do with the poor underclass, which tends to be more non-white in many places.
As for statue tearing down, bit in two minds. Yes Coulson was slave trader & was a push to get plaque explaining this. But now seems a desire to remove all trace of him from Bristol. Well. Except for the trust foundations money he set up to fund black & underprivileged peeps education etc. Feels a bit hypocritical imho?
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Also, yes churchill was a racist, but he did also great things for the country. No person is without fault and it is for us to judge on their merits & decide.
Funny thing is the Gandhi statue opposite churchill is the same. He did many great things, but also his time working in south Africa is well documented for his racist views of the black population, something he did regret later in life.
At least my home town statues are pretty safe. We have William Wilberforce and twinned with Freetown?