HS220 is a dimmer switch, if you don't have dimmer light, no need to purchase it. 

HS200 is two way switch, it will requires neutral, live and load lines. If you replace your old switch with the HS200, then it will control both fan and light all together. 

If you want to control them independately, maybe you can look at smart plugs. Connect the fan or light to the plug, then control the plug separately.

Correct, it sounds like you will have to control the light on/off with the cain on the fan.  Unless you want to go to the expense of running more wiring and another switch for the light to run separately. 

I like the idea of buying floor or table light and getting a smart plug that controls that. So you can turn on a light independently of the fan. 

Thank you for the answer!
I would have loved a way to control both independently from one switch, maybe one day!

I believe that, if you can use HS220 with a ceiling fan, you should do that. And for the light, you may replace it by a smart bulb that you can control using the app. 

However I am still trying to figure out whether is it possible to use the HS220 with a ceiling fan.