That is exactly why I quit using a long string to tiller. I work the stave while floor tillering and looking straight down the side of the limb until both limbs have an even bend. Then I go straight to brace, at least a brace that is comfortable for the amount of bend the bow has.
When the bow is braced, even a short amount the pressure of the string forces the limbs together. The result is the limbs bend.
With a long string, even a very short one, you are just pulling down with slight inward pressure. So you are seeing a false positive; if you will.
Practice floor tillering an even bend and go to brace then tiller. Throw the long string away as soon as you can. You will be surprised at the results.
I teach everyone how to do that and very rarely check bend with long string.
Good luck and I hope this helps!
Patrick