So if not the Mormons, who else is nearer to the truth from the bible? There must be some other religion that ticks most of the boxes?
One important thing to remember is that religons make their own boxes. The bible can be interpreted in many ways.
For example, the scripture:
not giving up meeting together, as some are in the habit of doing, but encouraging one another—and all the more as you see the Day approaching.
JWs interpret this as a command to come together at the meetings and worship.
But I could instead interpret it as encouragement to socialize with fellow believers.
Many of the boxes JWs say they "check" are based on their own interpretation. Another religious group might have other boxes that are based on their interpretation.
"We are the only religious group fulfilling the requirements that we made up"
"The ring of truth" is a very interesting concept. I believe that it has a direct link with how our brains interpret the world. If something surprises us or shocks us, we have a tendency to disbelieve or question it.
Example:
"descended from aliens, could that really be true??"
Since it does not fit our world view, we will automatically question its validity.
And it is the same thing with things that we do expect.
"I have a dog in my house" is much easier for you to accept at face value than "I have elephant in my house". And psychologically that could be called "the ring of truth". If you where brought up a mormon, their views would have the ring of truth and JWs would not. This is a bit oversimplified since your believes and world view aren't static but I hope you get the idea.
Something that fits into "your reality" (how YOU see the world, your worldview) will have the ring of truth and vice versa.
Hope this helps :)