I have actually experienced the "it is coffee without milk" line a couple of times down the decades so there are people who apparently object to the phrase "black coffee" but the key thing with these "myths" is to realise they are usually isolated incidents rather than some company policy.
If you've not met anyone in the labour party who have made the Black Friday argument then clearly it is a made up lie as your small circle of comrades obviously represent the opinions of everyone in the world. If your friends haven't said something then obviously no one else has either
But going back on topic, it was an argument made in my company's internal Yammer group message board with links to various people's twitter posts, Facebook, reddit and all the other social media outlets where people get into their echo chambers. Fortunately most people just role their eyes at such arguments and don't take it too seriously. Most people who take offence to Black Friday do so because of crass over commercialism rather than the name.
I have also seen it debated internally whether or not the words blacklist and white list should be rebranded as a list that is white contains trusted people but the black one are untrustworthy and potential scammers. Those people were trying to get people to use "Trustlist" and "non-trustlist" instead. Didn't catch on.
As for Piers Moron, there was the story earlier this year of JL Bean bakery up north rebranding them as Gingerbread people and the story broke when the customer asked for a gingerbread man and was corrected and lectured that "people" was the correct gender neutral word. I don't think any of the main supermarkets sell as "gingerbread people" and have separate male and female designs and it seems to be individual owners here and there in their private businesses who make the decision to rebrand. It would not surprise me though if Gingerbread people was adopted by the main supermarkets in the next 5 years and some people may consider this progress.
I assume the above is what Piers was referring to. It amazes me that the people who seem to spend there time watching him are the people who always find everything he says offensive.