It's the same reasoning used to paint women as nazis. That's why it is uncomfortable despite being something we'd initially all have agreed with.
The main difference being: the suffragettes were not prophesying a future devastating impact or a feeling of perceived injustice. They were protesting injustices actively happening to them. No feelings or future involved. JustStopOil and TRAs are definitely not doing that but the nuance is being air brushed away.
I don't like it. That was a feel good, almost the truth, sound bite. But it wasn't entirely the truth.