Yes, wash water is "clear"
After the Miele, AEG, or whatever drains off the initial frothy water (if any) what comes out is "clear" in that one does not see suspended solids.
Of course YMMV, and much will depend upon what is being washed and so forth. If you're doing a load of linty towels or something things likely will be different.
That being said overall "cloudiness" of wash water normally comes from what was used (soaps, detergents, bleaches and other additives) in first place. Things like washing soda, borax, sodium sesquicarbonate, Zeolites to various degrees are going to make water cloudy because that is what they do.
Zeolites in particular IMHO are responsible for much of the cloudiness of wash water and the "dust" you see on finished product.