Do you think the progressive ending -ing along with its absence is an indication of the stative vs. dynamic difference? Actually, the -ing ending is also compatible with certain stative predicates. For example, we could say "John is having to take the bus to work" to describe a temporary state of affairs. (By the way, if native speakers think the sentence is wrong, please tell me. Thanks)
What you have in mind about the -ing ending may be grammatical aspect. On the other hand, distinctions such as dynamic vs. stative, punctual vs. durative, and telic vs. atelic fall in the realm of lexical aspect, or Aktionsart in linguistic parlance.