Oh yes, and I don't think he's even humoring her half the time. He truly wants to be there. He loves to watch her "hunt" when she takes him shopping, for example, or when they're exploring a new city to try and find the exact spot she'd seen in a vision.
Nothing makes him happier than to watch and feel Alice's happiness. Sometimes he's really just tagging along or carrying bags, sometimes he dives into whatever humanoid role is expected of him. Sometimes he's the one creating the experience for her (bonus if he is able to surprise her at all).
While neither Alice nor Jasper would win a "most romantic character" award, he's the more romantic of the two. Romance, after all, is just about using props and scenes and words to stir certain feelings. So whether his role is passive observer, obedient assistant, or doting husband who moves heaven and earth to make his wife smile, he doesn't care too much about which props and scenes create those feelings. (He's sentimental about the diner and a few other places, but not objects as much.)
Shopping in particular is so trivial and mundane and borders on the ridiculous, in his mind; just as with the eternal freshness of vampire love, he's still in awe of the restful freedom this new life brings. Having the leisure to do unproductive things like this—in safety, with a home waiting at the end of the day—is still a novel idea that makes him smile to himself as he watches her.
Alice knows all this. But to this day, she still rushes out of the dressing room and asks Jasper what he thinks of this skirt or that jacket even though she knows he's barely looking at the clothing. They both know his response is really about "Yes, that one, because you feel beautiful and triumphant." Not to say there aren't times when he truly stares or is pulled forward to see what she feels like under the texture of the fabric. But since he doesn't fake that response other times, it's a truly special moment for both of them when it does come.