The D’Addario strings are notorious for having the same issue as the Fender ones that come with the Squier VIs... the low E is just too light and feels... floppy.

However, that's on the Squier, if that hasn't been your experience on the JZ-6 that's great news. If anything, I would have thought it'd be worse on the JZ-6 since the total length (from tremolo anchor to machine head) is shorter than the Squier VI... 🤔

I currently use Fender Super 250s (.024 - .100) on mine, but I just got some Stringjoy ones from the US that I am going to trial (.026 - .095). The Fender ones are strangely becoming hard to come by locally... so...