Having said all that about the training process, jeet kune do is still its own system.
Thus a "style"?
If you look at it in the sense of the definition I posted, it is a system developed by and for Bruce Lee. For him it was more of a developmental process used to refine his own body and artistic expression and in the process he developed something unique. That system had the name "jeet kune do". In that sense, yes it is a style. It is, however, not stylized in the sense of practicing classical forms or practicing with ancient weaponry that is mostly illegal in the modern world.
"After all, we all have only two arms and two legs."
"Death is certain, life is not."