That is pretty broad based ... you might just as well say "anyone who is not an atheist" because even agnostics think supernatural activity
may be involved or have been involved.
The purpose of words is to draw distinctions and when the distinctions blurr the words become useless: if I call all my tools "hammers" because they are all tools, then I have trouble asking for a screwdriver.
A proper term imho for your definition is theist
Theist Definition & Meaning | Dictionary.com
Is a Buddhist a creationist if they believe that everything has always existed in an endless cycle of reincarnation, while still allowing supernatural behavior?
I find it interesting that a survey of Americans showed that approximately half didn't know what creationism was ... (I can find the survey and the actual ratio if need be).