I’ve never experienced that and known numerous people who could be referred to as bastard children.

I think you’ll have trouble revising the slogan based on this quibble, even if there is this well meaning reasoning behind it.

No one in earnest hears someone get called a bastard and wonders about their parentage these days.

It’s simply a derogatory word.

I think the requirements of being a successful professional streamer can be at odds with being an ardent and strict socialist. While I don’t think the platform can truly give a proper socialist education, if it means even a few more people support socialists in meaningful ways, it’s probably useful.