Strange Issue: Router: Resolves Sites & Slow; Direct: Some Resolving, Mostly Not but Faster?

Final Update, I hope...

Cox shut down my neighborhood and went up and down the streets doing something.  The flyer on the doorknob said "upgrades".  I am now getting consistent 850Mb, peaking at 897Mb down, 35-42 up.  No resolution issues, either.

I still don't know what caused only half the internet to resolve, but whatever Cox did in the whole neighborhood helped!

Thanks for all the advice!