Those 'battery testers' only check the resting voltage. The fob actually tests the battery when it is under load, and loaded voltage is always lower than resting voltage. So I would not say it was a bad tester but it is an invalid test.
A lot of LCD devices, calculators are a great example, will power up OK (not full contrast on the screen but absolutely readable) but then the screen goes blank when you try to use them- this is the battery voltage dropping below the low threshold as the load is applied.
Not really a problem though 'cause 1) you will NOT get any warning if the fob batteries really do go 'dead' and you use the fob in RFID mode and 2) 2025 batteries are available all over the place and 3) they have an excellent shelf life so carrying a spare on the bike is really easy. If you are getting the low fob battery warning, you can always stop it by removing the battery from the fob and then just using it in RFID mode until you can pick up another battery, and you will not see that warning in the meantime.
It is a funny world but if the fob battery is good, there is no message. When the fob battery starts to get low but still absolutely works, you get that warning screen. If the battery fails completely (or is removed), there is no warning.... again.
Brian
On the way to lunch yesterday, my C14 was in a tizzy because the battery in my FOB was low. So while at the mall, I went to a watch kiosk to see if they had a 2025. They did and tested my battery but said it was at 100%. I put the new battery in anyway and of course the "PANIC, ALL IS LOST" screen went away. Bad tester? Or is the difference in voltage between a new battery and one that Kawasaki considers low so little that the tester wasn't accurate enough? In hind sight I wish I had kept the old battery and tested it myself once I got home.