I am not so sure that Boasman is PM. According to this story, parliament has passed a motion, but there is no indication yet that the Governor has signed off on the motion.

https://www.sxm-talks.com/st-maarten-news/parliament-wants-to-relieve-pm-marlin-of-his-duties/

The story also indicates that the Parliament is asking the Kingdom council to overturn the decree that dissolves parliament. So it is TBD if elections will be held.

Politically, it seems to me that if the Kingdom council overturns the decree, it would represent a lack of confidence in the Governor. Then it would appropriate for him to resign.