For most use in the USA where cannisters are convenient to purchase, I don't see how anyone can make any other decision. To me, alcohol stoves are annoying and require constant fiddling. The fuel can spill and start a fire. One that drips and spills flame. If I were travelling internationally it would become a different story and I would want something with multi-fuel capability, though.
I was thinking about going with an alcohol stove for fast & light single or double overnighters, figuring I could save myself about 4oz over my typical setup, but the extra setup time, and extra cooking time was totally not worth it for me.
Now if I am going fast & light it's Esbit all the way. I even keep one in my emergency kit with my stash of puritabs.
It is nice however that alcohol stoves are super easy to make and if you take the time to make a few stoves in your kitchen and fool around with them, it's a skill you can carry with you. Even if your kitchen gets totally stomped by a bear (or careless hiker, for that matter... had some close calls..), You can get all the stuff you need for an alcohol stove at a convenience store or supermarket.