In my experience, the Adam West Batman is a show that you love as a serious adventure series when you're a kid, then dismiss as silly and campy when you reach adolescence and want to take everything seriously
It never fell out of favour with me at any stage, even when I did the "serious adolescent" thing. Later on from that, I remember it being re-run in the mornings back in the late 80's, so I'd watch it before I went to work. It always put a smile on my face. Especially when Julie Newmar was guest-villainessing.
For me, Batman works best when it's at extremes - totally silly and camp, or totally serious. Therefore I love the 60's stuff and the Nolan movies pretty much equally.