There’s a lot of merit in Ian’s opinion of letting it ride but, I’m guessing that, as you’re asking, you made the call before assembling that it was going to be fine but afterwards, you’re second-guessing that. I sympathise. 🙂
You certainly could try staining the other side. There’s a risk you’ll end up chasing back and forth between sides trying to make it symmetrical and colour-matched, so I’d make my peace with things being ‘closer than they are now’ before starting.
As a radical, left-field suggestion, you could stain both sides completely. 🤯