I do pump up the rears more when towing. I'm running Nokian Vatiivas, which are XL rated, so I pump them up to 45-50psi when towing.
Can't remember . . did you get scale numbers? Tire pressures have a direct relation to load to be correct (within a small range). As with setting WDH with scale-derived values, one works from a baseline from then on. Slight changes here and there are important to reference to known values. There will be a setting that you find ideal, and more pressure may not be it (reference manufacturer guidelines).
Trip-to-trip changes (TT and/or TV weight/balance) when recorded via weight scale tickets show a trend that will usually cover most possible or potential WD changes.
Starting with "true" empty weights of both vehicles (and once WDH and tire pressure initially dialled in) progressing to heavier or stranger loadings (full holding tanks is a "weirdo", strange; not-to-be-done, but interesting to know) seen across a handful of scale tickets the changes to adjust the hitch rigging and/or tire pressures is fairly complete.
Make some notes. Some rigs may need no WD/tire adjustments at all, some a fair amount.
Knowing what those WD changes are -- because they've been worked out and verified -- according to your logbook means peace of mind. Adjust this, then that. Complete pre-trip inspection. Turn key, go.
The trend, the possible continuum, is key.
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