Yes you do! Read the applicable section of the US Code above.
Even if it is the very same manufacturer, slipping some units out of the current production line so they are genuine in every respect, they still can't be imported if they violate the trademark laws. In other words, the only legitimate destination for those batteries would be Apple itself. Because the manufacturer didn't have Apple's permission to use the trademarks for those side-stream batteries.
It's really pretty simple, the law exists, and it's pretty easy to read and it absolutely precludes any manufacturer from using Apple's trademarks without permission.
Rossman's going nowhere with this...
That honestly sounds like utter nonsense. If you buy an item from a manufacturer, the manufacturer doesn't get a say in what you do with it next. You don't need permission to import goods from a manufacturer after they've been sold by that manufacturer.
Unfortunately, the way the laws are written, in many countries, only the manufacturer (or their designated assignees) can
import their products, regardless of provenance.
The concept you're referring to (that the manufacturer has no say, once they've sold it) is, in the United States, enshrined in law as the "first sale doctrine", and initially, I assumed this would apply. But apparently, it does NOT apply outside of USA, so if the sale occurred outside USA, then the US first sale doctrine cannot apply (SCOTUS ruled on this long ago and decided it cannot apply, as it would be extra-jurisdictional application of US law). And so then the aforementioned US Code section applies, regarding trademark.
I don't like this situation, but legally it's fairly clear. :/