By combining primary data on dimension importance collected in the field from three different samples and nationally representative survey data from the Dominican Republic, we offer a twofold contribution. The first one comes from an unincentivized questionnaire experiment, where the significance of the treatment effect shows that life domains are valued differently in a poverty vs a well-being framework. This poses important questions on the anatomy of dimension importance and on the use of weights in empirical analyses, and opens the door to what we call a "concordance paradox" related to the very essence of the constructs of poverty and well-being. As a second contribution, we employ the sets of weights collected in the field to assess the trend of multidimensional poverty and well-being in the country. We find that the picking one set of weights or another is not a trivial choice, as they lead to opposite assessment results. JEL Codes: I32, I31, D63, O12