I have been self treating gout for about 10 years. My blood type is B+.
Now what I've learned:
If you are acute you drink 4oz of black cherry or tart cherry every 4 hours while awake. You also push water. I also take 1000mg black cherry/tart cherry extract and 1000mg tumeric for maintenance and unless I overload on purines I don't have many flares. Easter is particularly hard because there is usually asparagus, ham, sausage, peas, mushrooms, liquor, beer, I do find that going vegan while acute does seem to help you recover faster. Paul, it is the purines that cause the gout and contribute to the gall problems.
I can have purines in moderation as long as I remain hydrated and take the supplements.
The pain is about the worst I've had and I've had some serious orthopedic injuries. I'll take that pain over a gout flare anyday. I've been treated with OTC antiinflamatories, prescription anti inflamatories, narcotics (a worse choice), steroids and once antibiotics. The steroids and abx were a misdiagnosis of cellulitis, but the steroids took the inflamation and pain away overnight.
My wife and I have gone vegetarian/keto ish in the past 6 months and I've had about a 20lb weight loss and nearly no flares. My doc has tried to put me on allopurinal or the other one (can't remember what it is right now), but cherry extract and tumeric are working without side effects.
As far as the gall bladder I'd get checked out. My day job is a GI nurse and getting bloodwork, an ultrasound or an MRCP will tell you if you need your gallbladder out or an ERCP to clean out your bile duct.
As far as answering the original question if they two are related its a maybe. Gallstones are precipitated in different ways. Its genes (probably blood type), diet, lifestyle etc. Having assisted in extracting all different kinds of stones/sludge I would strongly advise not waiting for treatment. It can sometimes be life threatening.