I would agree that it's a result of poor hygiene, health and nutrition. Though, the tooth loss is not just from lack of hygiene; meth directly destroys the enamel of the teeth. I don't have any sources for that, just remember seeing a documentary that interviewed a dentist for prisoners, and that's what they described. I think meth was slightly acidic, but I could be wrong about that.
Of course, once one loses their teeth, their lips have that sunken-in look that makes one's entire face appear old since we usually associate toothlessness with aging.
A complicating factor is that meth addicts are rarely ONLY abusing meth, so it's also hard to identify which of their symptoms are due to the meth, which are due to other drugs (including alcohol and nicotine), and which are due to general hygiene issues.
Of course, if you're looking for a deeper, mechanistic answer, such as how the process of aging actually happens that wrinkles or such occur with any of these conditions, I don't have that answer.