Abp Chaput is very orthodox in what counts, but his liturgical taste is not great. He seems somewhat charismatic-influenced, so it’s basically sentimental Christian pop and 80s stuff, from what I’ve heard. Also, he can be on the liberal side when it comes to non-Faith related things, but I guess one can agree to differ on that.
Yes, one is certainly more important than the other. As long as our Pastor says the Mass properly, and as long as he does confessions and other needed things, I can live with it. It’s the Catholic Church, even if I sometimes have to plug my ears in order to think.
He does ad lib once now in the Mass (used to be a little more often):
“Look not upon our sins, but upon the faith of your Church—the faith of each and every one of us. . . .”—he seems to be a “we are Church” sort of guy—but he’s basically very well meaning and does nothing out of line to undermine the sacraments.