I have the ZR’s - they’re handy to have around, but I probably would have never bought them myself, they were a gift. I keep 2 or 3 sets of 2 speeds that I use almost all of the time. Occasionally, if I remember to have the cordless ones charged, I’ll take them to the make up ring - rarely use them much even then. We do go to a slick shear jackpot show where the rules state that only cordless clippers may be used at the show, so we use them for touch up there. There’s really nothing wrong with them, I’m just not in the habit of using them. But if you really want them, you will probably end up using them more than I do.
The difference in the ZR and the ZR II appears to be a detachable battery (and around $80). Not sure if that includes an extra battery or not. I’d guess if you plan on using them a lot, being able to use one battery while you’re charging another would be nice. I don’t honestly know how long the charge on the ZR would last using them alone to actually clip or fit - I know they can be on the charger overnight and off all day, using them just a little here and there throughout the day, they seem to hold up very well.