A loop like that doesn't necessarily mean that; there's no indication that it meant any such thing - nor any apparent indication of a cause, aside from maybe vague handwavy about "karma and/or fate in action" - in the original Groundhog's Day, after all.
Authors are free to (try to) do what they want, of course, but I don't think any of what you suggest or any of the modifications you propose are necessary for the idea to work and work well as a story element.
Authors are free to (try to) do what they want, of course, but I don't think any of what you suggest or any of the modifications you propose are necessary for the idea to work and work well as a story element.