In my short experience, I believe that I have observed most flutter kickers to be negative, and furthermore I have observed most of them to be heads well up and fins well down. I agree that there is no mechanical reason why flutter kickers *must* be negatively buoyant, however I also believe that if we observe a random selection of divers, this is what we will see.
Now that being said, let's forget about the mechanics and examine the 'logic' of the situation. if we observe 1,000 randomly selected divers, what will we see? flutter kick, check. Negative, check. Heads up, fins down, check. Rental gear, check. Fewer than 50 dives, check. OW cert. only, check.
Spot a pattern here? I suggest flutter kick *is* correlated with negative buoyancy, but there is no causal link between them. Instead, there is one strong causal link between inexperience and negative buoyancy, and another strong causal link between inexperience and flutter kick.
There's an easy way to test my theory. Simply restrict an observation to divers likely to have more experience. For example, let's only observe divers who own their own gear. Or divers with doubles. Or divers on dives below 120'. Or divers with more than 100 logged dives.
Perhaps we will observe that the correlation between type of kick and buoyancy is weaker in a more experienced group. I'm pretty sure that if we only observe divers with doubles, a stage bottle, redundant dive computers, and dry suits we will find no correlation at all