The comment doesn't quite make sense, but I think what it's trying to get at is that in order to compare the different measurements of H0, you have to assume a physical model.
You can calculate the rate of expansion of the Universe in our vicinity using Type-Ia supernovae. One calls that a "local" measurement of H0. One can also do various measurements of the Cosmic Microwave Background (CMB), and using the standard model of cosmology (Lambda CDM, meaning a theory with a cosmological constant and cold dark matter), predict what H0 should be. In order to connect the local and CMB measurements, in other words, you need a theory of cosmology. If the local and CMB measurements don't match, then there are basically two possibilities:
1. There are systematic errors in the measurements. We just have to figure out who made a mistake in their measurements. (I think most people believe this to be what's happening).
2. We need to modify the theory, Lambda CDM, by adding in new types of matter (such as sterile neutrinos) or modifying the theory of gravity in some way (this is very difficult to do without violating other experimental results).