My 23 y.o. daughter and I are leaving on Thursday for a few days in London and then a week in Italy. We fly into Venice and are there for 3 nights, then a few days in Bellagio and then we're taking the train from Varenna to Lucca. I've already bought the Trenitalia tickets for the Varenna to Milan and Milan to La Spezia Centrale legs, and have been planning to go from La Spezia to Pisa, then Pisa to Lucca. The point of that was so we could make a short stop in Pisa to see the cathedral and baptistry (no interest in going up the tower). We really enjoy seeing spectacular cathedrals in particular, so that's why we were thinking it would be worth the stop even on a long day of travel.
I'm wondering about how long would we need to experience both, without any dining or other stops in Pisa. Our Airbnb host in Lucca is unusually persnickety about checking in and it's looking like I have to let her know in advance when we'll arrive, so I need to figure out which regional train we'll be taking instead of just seeing how it goes and hopping on the next train once we've had our fill in Pisa. I've read it's about a 10-15 min walk between the Pisa Centrale station to the Square of Miracles, plus I guess 5 min to store/claim our baggage at the Pisa station? (We haven't done that before at any stations). So would love any comments as to the time involved actually seeing the interior of the cathedral and baptistry (without rushing) and also whether crowds have been an issue. Also welcome opinions as to whether Pisa Cathedral is worth the stop in general. Of course that's subjective, but any insight would be of interest. For point of reference, up to this point the one that has wowed us the most was the cathedral in Siena on our last trip. Thanks in advance.