Halliday & Matthiessen (2014: 296):
Some verbs combine the feature of possession with other semantic features; for example
- exclude ‘[negative] + have’,
- owe ‘have on behalf of another possessor’,
- deserve ‘ought to have’,
- lack ‘need to have’.
(Most verbs meaning ‘come to have’, on the other hand, function as Process in ‘material’ clauses; for example get, receive, acquire — compare the tense forms in You deserve a medal. – I’m getting one.)