I have to say, when I first moved back to the U.K. after a long time in the states, I absolutely could not control my shock followed by giggling when people asked if they could bum a fag off me at a pub or suchlike. (Fag is slang for cigarettes for those outside the U.K.)
I've always known the word "fag" to also mean a bundle of sticks, like you'd use to start a fire. I expect the meanings are related.
Life seems to be peppered with problems with people with limited vocabularies who would rather make themselves "offended" by something, rather than think.
https://www.dw.com/en/german-grammar-in-ok-boomer-tweet-gets...
Also my all time favorite when Facebook banned people posting about faggots which is a traditional food in the UK Midlands
https://www.telegraph.co.uk/technology/facebook/10419598/Man...
https://en.wikipedia.org/wiki/Faggot_(food)