I had never heard of this idea before. Do you have any references to this technique? Also, depending on what equations you're using, aren't you constrained to using a consistent system of units?
https://books.google.de/books?id=uzJbyD6_3DAC&pg=PA4
And yes you have to be consistent and stay in that unit system. The other remaining two we used plain Kelvin for temperature and for the charge Coulomb was measures in electron charge. That's it.
If you have a process that converts floats into other formats with more restricted exponents, like human readable strings, it might matter.