No. It just means you have more problems with purchasing wireless products. How many people live in New Zealand? 5 million? So wireless headsets are bad, because 5 million kiwis can't go to a store and try them. Is that your reasoning?
What are these way more problems? You've listed 2.
Bad wireless connection Batteries can run out.
Wired headsets can have Bad wires or bad male/female connectors too so not really an exclusive problem.
But sure. Batteries CAN run out. Good thing most decent wireless headsets also come with a wired option.
This doesn't make them generally worse. It just makes them worse for YOU. Because you're a kiwi who can't go to a Playtech store or something.