I ALWAYS finish my quilting before adding the binding HOWEVER....my friend cuts & sews the binding to the quilt top before ANY quilting is done..... it works.... (for her)
Just did a quick search and I see she's not the only one. IF I add (in rare cases) the binding before all quilting is done.... I will have stabilized all the blocks right out to the border.... BUT.... looks like there's alternatives to that too. So I guess it's with everything..... we need to try this & that & see what works best for us..... My best advice is.... if you want to experiment with these different techniques...take it SLOW....