Does chocolate ice cream tend to have more salt than strawberry or vanilla?
Not at the supermarket I'd buy mine from. I've checked a couple of chocolate and a couple of vanilla ice creams (one cheap and one mid range of each). They all have about 0.1% salt, and most of this will come from the cow's milk (that contains some naturally occurring salt). Only one has salt on the ingredients list. It's a chocolate one but has no more salt in the nutrition information than any of the others - probably because there's less milk in that one.

This is in the UK, and you may not be, so I suggest you check the brands available to you. I wouldn't be at all surprised if American ice cream, for example, was more likely to have added salt