That's correct. It isn't just burn rate but the geometry of the grains and how many perforations they have that affects the curve.
On the link to Steve's Pages, the maximum load difference is about 3.5% higher for H4831. In QuickLOAD, using a 100 grain Barnes TTSX I get almost 8% heavier charge for the H4831. The difference could be based on different powder lots that were tested or a data source that's not got actual measured data. Looking in several other data books, I get as little as 2% difference between the two in some instances as as much as that 8% number in others. Additionally, QuickLOAD thinks the TTSX will use about 2% less powder than a Nosler BT to achieve the same peak pressure.
So, in your shoes I would take Hodgdon's data for H4831 with 100 grain jacketed bullet and reduce it 2%. Their data calls for 64 to 68 grains for the jacketed bullet. Reduced 2%, that would be 62.7 to 66.6 grains. I'm not sure why this range is smaller than the usual 10% difference in start to maximum, but based on what is in other manuals, Hodgdon's load is conservative, but it still fills the case near 90%. I would start at 62.6 grains and the bottom number and work up in 0.5 grain steps toward 66.6 grains, watching for an accuracy peak. You could creep past it, watching for pressure signs, but if you get adequate velocity and accuracy from the lighter load, there's no reason to put extra wear on the gun nor for burning its throat out sooner.