Water tests for occupancy only consider heath concerns and not "water niceness". Living on a well the water must be safe and you might want it to be nice also. Consider getting a comprehensive water test from a certified lab to see what is in your water and then consider treatment or not.

As to the smell...

Hold off on the bleach. If the smell is only in the hot water then it's usually not the well. Shocking (bleaching) the well too often can result in costly pump repairs.

More than likely IRB or SRB. Note the current temp setting on your WH and turn the temp up to 140 degrees F for two hours.

Be careful using hot water during that time as it will be HOT.

After two hours lower the temp to what it was set at before and drain the WH if you can. If you can't drain it then fill up your tub a couple times with just HOT water to get rid of the water that was in the tank.

That could resolve your smell problem.

we had the smell also---we deduced it was coming from "iron eating bacteria" present somewhere in the softening system (which was 28years old)......we had someone from Kinetico come out to service..they determined it was not the hot water--once that was ruled out, we installed a better "pre filter" Called an Eradacator, There are other names for this iron eliminating filter.....haven't had the smell since.