I have looked up whole house water filtration thoroughly. Unless you can get reverse osmosis system it will not alleviate NTM. In fact I found mycobacteria can thrive in a GAC filter so must make sure you change this often. The microns needed to reduce that particular bacteria would have to be 0.005 or 0.001 and only reverse osmosis systems can do that. Whole house systems here in Australia filter through 0.5 or 0.2 I have found. So although all the other nasties are eliminated and your water is more pure and soft it won’t eliminate NTM. It is expensive. You can buy reverse osmosis units to sit on countertop that produce hot water to 100deg and ice water too and they self clean also with filter being changed yearly. For drinking.
I would also consider under sink filter to wash veges but I still take my shower head off and disinfect and dry out before next use. One company told me, if any one tells you their filter system can rid NTM run 🏃‍♀️ anyway that’s what I’ve found in my research!