It'd be nice to add a color option to the social icons block (the wrapper) so you could make all the icons be a specific color: all black, all white, custom color. If it gets tricky to allow any color given how the svgs might be constructed, perhaps just a setting for black / white could work.
Drafted #21639 to make this happen. It's thankfully not that hard to change both the foreground and background color. In that draft PR I try to be "smart" by inheriting colors, which works fine as a proof of concept, but doesn't work in practice. But it can easily be commandeered to add completely custom color support.
One concern here is these companies typically have logo usage guidelines that limit the colors you can use. Often at most it's the official logo color(s), black and white. We'd probably want to confirm that first, then limit the color options.
@earnjam we actually got some decent analysis of that here: https://github.com/WordPress/gutenberg/pull/21900#issuecomment-624307120
Just came here to +1 on the idea. It's been a bit hard to use the block on some opinionated background colours.
Being able to pick a uniform custom color for the icons will come in really handy in the header/footer design where we often want them to blend in with the overall design.
A few visual examples:



I think we could probably use the normal color control to override the automatic colors; Clearing the chosen color would return to using the brand-colors:

@shaunandrews yes, that's what I had in mind
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I think we could probably use the normal color control to override the automatic colors; Clearing the chosen color would return to using the brand-colors: