That is, you can use any of those types of wheels for any of those skating activities. You won't get the optimal performance, but you won't have to swap wheels every time you switch activities either. However, if you're looking for the best results, you may want to look at wheels designed for your type of skating. Speed wheels are taller, thinner, more tapered. Hockey wheels are shorter, wider, rounded.
Aggressive wheels are short, with a wide, rounded profile.
Often they are very short and have a solid core. Eventually any type of wheel will wear down to the point where the original profile is lost. There's no way around that unfortunately. Whether you replace your wheels then, or not, is mostly up to you. For most people, the profile only makes a subtle difference, so unless you're in a highly competitive skating situation, I'd just use the wheels until they're worn all the way down.