Do highly creative people dream more and/or differently than ordinary people?
There are some studies that seem to support your suggestion e.g.:


Dream reports and creative tendencies in students of the arts, sciences, and engineering (paywalled, so I'm quoting the abstract):


  105 students of arts, sciences, and engineering were asked to report a dream and to take a test which measures independence of judgment and relates to creativity. 4 predictions were stated: (a) (confirmed)—the proportion of dream recallers would be greatest among art students and least among engineering students; (b) (partially confirmed)—dream imaginativeness would be greatest among art students and least among engineering students; [...]

Creativity and Dream Recall (same as above):


  The literature on creativity and dream recall often found significant positive correlations between measures of creativity and dream recall frequency (DRF). The present study investigated the relation between creative interests and DRF in detail. The findings confirmed the results reported in the literature, according to which persons with visual and verbal creative skills recalled more dreams. It is suggested that the visual memory may serve as a mediator variable in the relation between creativity and DRF.





Yet dream recall is a complex topic. As you noted in your comment, it might be different for a single person from night to night. It also seems to be inlfuenced by a lot of factors. Schredl et al. name some of them in Factors of home dream recall: a structural equation model:


Personality measures
Creativity/fantasy
Visual memory
Sleep behavior
Stress measures


Yet there are still a lot of factors more to be included, like demographic factors, attitude towards dreams, medication and so on (Schredl has written a lot about dream recall, if you want to dig deeper).

So I'd summarize creativity might increase dream recall but it's only a small part of a bigger picture.