The offering in question is "A better GitHub" so you are correct. That is an actual quote from the FAQ [0] by the way.

In comparison CodeBerg [1] and SourceHut [2] both offer Git hosting but don't merely describe themselves as "GitHub but X".

[0] https://gitdot.io/faq

[1] https://codeberg.org/

[2] https://sourcehut.org/