This is my quote and I do stand by it, however, I should have said that it can and does vary based on the single cam design. It definitely applies for the original single cam designs with the small idler wheel. In truth, I have not checked tiller on my Liberty so cannot confirm that your findings are the same as what I have on my bow.

However, considering my experiences with single cams of various designs I would fall back on the limb bolt characteristics. If both limbs are bottomed then your tiller should be set correctly. Equal turns out of the limb bolts should continue to yield the correct tiller in most cases.