I think it may be another kata you're thinking of. I've been introduced to several Matayoshi kobudo versions of Suishi no Kun and I have not been shown any one-handed movements. For that matter I have not been shown any one handed movements as part of the Matayoshi syllabus for bo.

Like you said “Both hands on the bo at all times.”
Pat O'Brien
Southwest Seibukan

Patience my ass I’m going to kill something