You'd dig it the most.
The Louvre is huge, so I am sure there are many quiet corners where you could quietly contemplate the fine art, though it might be oil paintings of fruit and dead kings.
We stayed four nights. The main reason for the last-minute arrangements is that we travel standby, so we never know if we will even arrive. I also prefer to do more advance research, but many times we have changed the destination the day before based on flight loads.
On an earlier trip to Paris, we couldn't get on the JFK-CDG flight. We saw that there was a flight to London leaving in an hour, and figured that was close enough, got listed and got cleared. On arriving at Gatwick, we discovered that all the low-cost carriers flew out of Heathrow, or vice versa. A black cab was something crazy like £60, and the Underground was too slow and intimidating (without a smartphone).
We ended up taking the train, which wasn't cheap but worked out great. We arrived at the Gare du Nord and I booked a room using a pay phone and my prepared list of possible accommodations. Ready to settle in at last, we stepped outside to get a ride to the hotel and discovered a line around the block; the taxi drivers were on strike!