Coldkennels
Barnack-toting Brit.
This makes it sound like M43 would actually be better for your needs, not worse - much higher depth of field at equivalent settings.In theory - for FF indoors to get family in focus I need f5.6 with 24 mm.
And ISO 4000 at least, but usually it is 6400. For M43 this will be f2.8 and 3200.
This is for static situation. But I don't like just static family photos.
On practice I haven't seen much family indoors pictures with M43. My own experience wasn't good.
Looking through a list of M43 lenses, there's a lot of lenses that are either 12mm primes or zooms that cover the 12mm focal length with f/2.8 apertures.
(Also, your numbers are slightly wrong - if you're shooting f/5.6 and 6400 ISO, that's f/2.8 and 1600 ISO, not 3200 ISO.)
I have no idea what the low-light performance of contemporary M43 bodies is like, but my other half is regularly shooting at high ISOs outdoors, and the results are impressive for such small sensors. I forget what she's using, but it's one of the Olympus (i.e. pre OM Systems) OM-D bodies. It's a very capable little thing.