The problem with these cost-of-living adjusters is that they don't consider which goods are location-dependent and which aren't. So yes, your rent will probably be double in SF what it is in Houston. However, if you make $100K, rent is only a small portion of your income. And a dollar of savings in SF is just as good as a dollar of savings in Houston.
The way COL-calculators should work is that they should take a basket of monthly expenses typical for someone in the given income bracket, index that to the given location, and then subtract that from your salary offer in the new area. It's not a straight linear sliding scale. I would much rather be making $186k in SF than $100K in Houston, because I'd only be spending about $40K in living expenses in SF vs. $25K in Houston, and $186k - $40K = $146k is much greater than $100K - $25K = $75k.