There is research support for the CLA.
Sprecher ( 2001 ) found through a longitudinal study of 101 couples at an American university that the comparison level alternative was the most important variable in relationship satisfaction. The CLA Alt negatively correlated with satisfaction and commitment to the relationships, so if commitment is high then alternatives are low and vice versa.
This shows evidence of this CLA.
However, this study only shows correlation, not cause, therefore it may not actually be proving anything.