I was always under the impression that, everything else being equal, hex core strings have higher tension than round core strings.
DR even names their strings specifically for this reason - High Beams are round core with lower tension, so they typically need a slightly higher action if you’re looking for zero fret noise/string buzz because you can dig in a lot more (my personal favorite).
Low Riders are the opposite - hex core, more tension, harder to dig in, less buzz and lower action achievable, etc.
This isn’t the case?