If you can drink your water fine, what's wrong with it? If it ain't broke, don't fix it. But you can improve it.
Minerals in the water improves the mashing in an all-grain and adds flavor to your wash, regardless if you use enzymes or not. Conversion of starch is not the only thing that happens during mashing. Not sure exactly how much of the beer flavors carry over to the final distillate but I like to think some of them do. And we like flavor, don't we? And we do like a clean ferment.
Unless you already know what's wrong with your water, go to the city/town/water owner and ask for an analysis of the water - in most countries, suppliers of public water must test their water regularly and make the test results available to the public. If you need help to interpret the results ask for help - there are more than one "geek" here on the forum who have looked at water analysis results before and can help you make sense of them.
Using RO or distilled water for your mashing is pretty extreme and should only be done if absolutely necessary, IMO. Water being stripped from key minerals like calcium and magnesium will need it put back in again, so you're basically paying for neutral water and then you're paying to put the minerals back in again. And buying liters of spring water is a very expensive way of making liquor.
I consider the water profile of Stockholm South, where I reside, as part of my beer profile, and now my liquor profile. I am proud of it, and lucky of course it's something to be proud of - it's unfortunately not good water everywhere.
On a side node, I will share one personal observation I have made since joining this great forum. Consider how many threads we have where the attention is on constructing equipment, soldering, welding, you could think this is a forum for plumbers, metal workers and home improvers.

Consider how few posts we have about water chemistry, and you would not think we were making beer for distilling.

And that's not critique, just an observation from the other side.