This is a common approach but I've stopped doing it for mixing with coolant.
We need to draw a distinction between dissolved impurities and particulate impurities.
Your condensing dryer (or in my case a dehumidifier) water will be free from dissolved impurities because of how it draws water from the air inside of the drum (in my case how the dehumidifier draws water from the air of my woodworking workshop).
The filters that both use do not have especially high grade particulate filters- bits of lint in your case, bits of wood and metal in mine.
I don't know if the dryer lint and fluff is harmful to engines but I'm pretty sure that wood and metal is, so I haven't done it with any of my recent bikes.
The water still goes in the iron, however.
YMMV of course.