If this apartment is available, you should book it. Plenty of space, which has been very cleverly designed for maximum efficiency. It was extremely convenient to have a washing machine and dishwasher, and the WiFi was great. The air conditioning worked marvelously, even during a heatwave.
Most of all, you cannot beat the stunning view and the superb location. The immediate neighborhood has everything you could require -- great restaurants, farmers market, artists boutiques, bars, cafes, bakeries -- and it's a quick walk into the center of town.
Françoise was a wonderful host -- fast and easy to communicate with as well as warm and welcoming (much like everyone I met in Lyon, actually!)
The only possible reason not to stay here would be if you have mobility issues, given the stairs and the hilliness of Croix Rousse. Otherwise, do yourself a favor and book now, for an unforgettable stay in Lyon.