I haven’t used Minky but I now prefer fleece to the more traditional wadding and backing.
Because it is so wide and my charity quilts are small I can use the fleece to make wide ‘self-binding’.
Fleece is great for self-binding as it does not fray. It does not stretch and needs very little quilting as there is no wadding to secure.
I have only found one down side to using fleece. Because there is no middle layer a dark or bright coloured fleece can show through a light coloured top.