I've just pulled 2 flowering onions from my overwintered ones. Bulbs are on the small side but very welcome as I'm just out of stored onions. Hopefully it will only be a trickle running to seed.
I wouldn't recommend saving seed from your early bolting onions as it is not a desirable trait to breed for. If you want to grow for seed saving at saving it would be better to save the best of your harvest. Store the bulbs overwinter and start them into growth next year, when they will flower. They don't self pollinate so grow several, 16 is often quoted as the minimum needed.