Low pH does not necessarily mean soft water just as much as high pH doesn't necessarily mean hard water. There's a lot more that goes into what controls pH than water hardness. I mean, you can have hard water with low pH or soft water with high pH.
You may indeed have soft water, but without knowing your GH and KH, at minimum, you might have shrimp that wont thrive.
With shrimp, it's a little more important to know if your parameters are within range or not as compared to fish. With Neos, if the water is too soft or too hard, then the shrimp may fail to properly molt and perish. (especially true in young if the water is too soft) With some Caridina, if the pH is too high or water too hard, they may live but they wont breed. In some, breeding may occur but offspring wont survive to adult-hood. TDS usually isn't too important with Neos, but Caridina may be pickier.
Not even going into the whole diet thing...
Many people will say that Neos do "just fine" in tap water! They died in mine. They say that if you buy locally, you have a higher chance of survival rates. Still died. They say that if you can get offspring, then those offspring will be stronger than the parent generation and will adapt better to your water. Nope! Offspring died faster than the adults! Reason being? Water is too soft.... and I live in a desert!
There are many problems with using tap. It's great that many people can use it without issues for their shrimp, but if you want to cut out unknowns, you go with remineralized RO/distilled water... which may not be feasible for the tank you have. Issues with tap may include the city adding more chemicals without notifying the public, tap water changing based on the seasons, heck I've even heard of someone on well water living on a farm, and a farmer up the river used fertilizer on their farm, which contaminated the water table, and when the person did water changes on their tanks, everything died...
In short, I'd recommend doing some more research and see if this is actually something you'd like to delve into. Maybe it would be better to set up a shrimp specific tank for breeding purposes?
The one thing I will say is - DO NOT use tap water on a buffering substrate, nor use KH of any sort in a tank with a buffering substrate if you would like the substrate to last as long as possible.