I can empirically say, that just switching from stock to a degoogled ROM gave me a significant battery boost. I have no idea what that thing was doing in the background, but it’s already doing a lot less of that.
For microG… Until UnifiedPush becomes more widespread the choice between having your notifications go through FCM and halving your battery life is going to be a tricky one.
AFAICT currently Tolino is just a rebranded Kobo.