I think (hope) they intentionally avoid tight integration with Microsoft branded stuff. Even at the slightest indication of such a thing happening, I bet it would lead to an exodus and outrage among developers, however irrational that might be.
This has been played out for decades before and since MSFT's containment to the desktop OS market, but also with most other capital-rich tech companies.
The brand is already MSFT Github, it just hasn't changed the site masthead. MSFT's core strategy and future goals aren't opaque. There's only 2 paths that maximize profit. Either MS bundles it up into a MS toolchain alongside hobbled alternate toolchain support, or abandon Github in parts until it's decommissioned (no need to dilute your brand). Maybe I won't be alive to see it, but I left for Gitlab because I believe this is how Github will maybe survive.