If you want to have the best chance of success, yes. Most people who breed Caridina (Crystals, Taiwan Bees, Tibees, etc) keep them in low pH water with a KH of 0-1 and a GH of 3-6. When kept at parameters closer to what Neos are often kept in, breeding slows down or even stops.
It is possible to have a healthy colony thriving in higher parameters, but it may take years to acclimate a colony to those parameters and still get great breeding results. So what if you end up with such a colony? You might run into an issue where introducing new blood doesn't do well in the colony because they aren't accustomed to the parameters... or you end up with customers who keep the shrimp at the recommended parameters and your shrimp might not acclimate well to different water parameters.
The main thing is is keeping the pH low and consistent. Without something to buffer the pH down, the colony may not thrive as well as it could. I have low KH, GH and TDS out of tap and would not put Crystals in that water! (unless I found a breeder who kept them in higher parameters, and one member here does)
That said, I have YKK's who are, so far, thriving in mixed tap. (3 KH, 3 GH, ~50 TDS mixed with 10 KH, 19 GH and 475-500+ TDS - target level ~150 TDS with 5 GH - although last water change I used RO water mixed with hard tap) They came to me as baby, juvenile and young shrimp. Nearly 2 months later, I've got 2 more baby shrimp (started with 16, now have 18, don't know where +2 came from) and 2 are now berried! YKK are, to my knowledge, some sort of Caridina Tiger hybrids. They may have TT blood in their lineage. They came from Caridina parameters and I'm keeping them in lower end Neocaridina. TDS and GH around the same as the breeder, but KH and pH higher.
Tiger shrimp are an exception to the Caridina rule (as are Amanos...). They can live in either Caridina parameters or lower end of Neo parameters and still do fine. I honestly wasn't sure how the YKK would do in my water parameters, but they are by far more active than the cherry shrimp are! I wasn't sure if I had any females at all at first (no saddles) since when a shrimp molted, the entire colony was in a frenzy! Cherry colony? If a female molted, then the males only would go in a frenzy. The females wouldn't do a think. I have pretty lazy cherry males... Two of the saddled YKK's molted a day apart, so the colony was in a frenzy for 2 days, and now things have settled down.