There is no pro-capitalist Left. That's a polite fiction in the US that no one can afford any longer as the ecosystem is actually collapsing around us."
Left and right are completely arbitrary semantic categories so you can define them however you like, as long as it has a clear and internally consistent definition.
I’ve even seen ancaps who have almost the same definition as I do but completely reversed which is pretty funny but also gives me a headache.
I wouldn't go that far, in a lot of ways capitalism was the left wing at the time. That was a liberal, ie capitalist, Revolution. Basically all the revolutions between the American Revolution up to 1848 were liberal and capitalist revolutions.