Its a sad situation - people who are in their trades are not faithful to it.. and who are, are usually hard to find.
If your original brand new battery was prepared and put into service with lab grade PH checked distilled water and pure sulphuric acid and then this certain shop poured tap water in it - YES IT WOULD HURT.
but your battery for all its life has been working on tap water etc. Whatever backup time there is - will remain the same, which according to every shop would be 100% but according to proper testing people would not be even considered 50%.
Get the idea?
Next time source/make some distilled water - about 10 litres of it, buy a 15 litre plastic bucket and find a battery place - pay them for their acid, and prepare the acid in the bucket of correct SG, pour into battery, let it stand for 5 minutes and let them charge it for the first time. Take home and put into service.
the SG of the mixture should be 1.270 at room temperature after stirring it in the bucket. If you dont trust their hydrometer, get a generic 1 litre plastic fridge bottle from the plastic shop, it weighs 50 grams empty without cap. (weigh on digital scale to confirm)
Fill with exactly 1 litre of water and mark the level with a marker, empty bottle and fill with acid mixture to the mark, it should weigh 1270+50 grams i.e. 1320 grams. You have a definite positive result that your mixture is 1.270 SG.
simple...
p.s. another trick to speed up the cool down process is to freeze half of the distilled water into ice