Crock-Pot is the brand name of a particular manufacturer of slow cooker. We shouldn't be using the brand name in our tags since only people familiar with that specific brand will be able to find the correct tag.
Questions around slower, normally lower temperature cooking methods. Covers preparations, techniques, risks, advantages and equipment.
This is ambiguous enough to cover slow-roasting and smoking - maybe even sous-vide and stewing (on a stovetop), for example.
I'm not really sure what the best solution here is. If we want slow cooking to be more generic, fine, but we should remove the synonym so that we can make crockpot a synonym of slow-cooker and have that be specifically about self-contained cooking units as defined here.
Alternately, if slow-cooking is just about cooking in a slow cooker, we can clarify that in the tag description (we do already have tags for roasting and smoking and sous vide) and leave the current synonym.
Also, "crockpot" is just wrong, in general. The brand name is "Crock-Pot".