You're not happy, it isn't operating as you expected.

I think you are obsessing about the manual and whether or not the thing is working as it should because the manual seems to suggest otherwise. It actually doesn't matter.

There is no way ebay is going to bother reading the manual to make a decision.

All you have to do is open a not as described claim with ebay. State that it is not working as described. Don't admit to confusion. Just that it is not functioning properly.

You should win the claim and as others have said, as long as you escalate, you should get a refund. Don't close though till there is a resolution. If the seller offers a partial refund for instance, wait till it arrives.

Now is the time to act, don't wait around hoping a warranty will work (it probably won't, as you've seen from the evasive replies you have had), not when you can get a refund.