We loved having air conditioning. It made our stay in Florence so much better/easier. The location is wonderful. It's quiet but still as soon as you exit, you feel close to everything -- within 10 seconds (or less), you're places to eat dinner or dessert as well as numerous shops. There is also a great balcony with a view that feel unique to Florence. The hosts were very helpful whenever we needed things.
The only drawback is that they are having an issue with a breaker flipping at times. It's unclear what causes it but they are working on figuring it out. Frankly it didn't lessen our enjoyment of the place in any measurable manner.
I highly recommend this place and would definitely love to stay there again if we went to Florence.