DY will not decrease the number of carriers. Doing nothing would decrease the number of carriers slightly but the tradeoffs aren’t worth it.
Assuming a 3% carrier rate with DY in place the next generation will also have a 3% carrier rate. With no genetic screening in place the next generation will have a 2.955% carrier rate and a 0.0225% infection rate. after correcting the numbers to relect only those that survive it is still less than 2.956%