Seismic or wind? Can't say for seismic (I'm on the east coast and the seismic loads are never enough to worry about explicitly, I just have to make sure the pieces are there), but for wind ASCE 7 provides several load cases that involve multi-directional and torsional responses. For each load case, you can determine the shear in each shear wall and the reaction at the ends. Sum the uplifts at the shared post.
For Wind - not that I know of. You can to be conservative I guess.
For Seismic - depending on the Seismic Design Category, if it's D to F, then you have to account for the Orthogonal Effect of that holddown (because it is considered part of a column or wall that forms part of 2 or more intersecting SFRSs). Which means you are on the right track. Basically you design for the max of:
1) 100% of the direction you are analyzing PLUS 30% of the other orthogonal direction
2) 100% of the other orthogonal direction PLUS 30% of the direction you are analyzing
Sauce (a slang for source): ASCE 7-16 Section 12.5