That works. If your water is clean, there shouldn't be TOO much issue with residual water. We have well water which is really clean and remarkably is clean as all get out. The only thing that's f-d up about it is it's slightly acidic at around 6.17 pH on the meter. But with the slightly higher pH of the antifreeze, I'm not too worried about it. Last time on the Focus I got a 7.30 final pH after the test drive and cooldown, so I felt ok with it. I send off well samples to the lab every couple of years and the TDS is super low. We have an undersink RO unit for drinking water with a mineral final filter (to raise pH) that boosts the pH to around 7.4 and I'm good with that. I ran a tap off to the ice maker and fridge water so that water is in good shape too.
I'll flush with filtered well-water until it's clear, drain what I can, and add about 1 quart of straight concentrate, followed by my 50-50 mix with distilled water. I check with the antifreeze tester anyway, and top off with the 50-50 as needed. Seems to work ok and I'm good to go here in the south. I'm always in the -20F freeze protection or better, so if it ever gets that cold here, winter can have it.
Sounds like a solid procedure. I'd wager 90 percent of shops and dealerships do coolant changes with whatever comes out of the hose, so I don't think it's worth overthinking.
I looked at the last report from our city water authority and the hardness was 112 ppm. I hear people talk about how extremely hard the water is here, but that's not much at all.