You are technically correct. I’ve never seen a detail with double hold down connections (except my own), but for an inward pulling load, something like that would be required.
I’ve done rather extensive research on this and there are many aspects of this detail that, in my opinion, are often overlooked.
Designing a truly code compliant railing post detail is really difficult. The Simpson detail you reference is called “code-compliant” but it’s really not given the ASCE 7 requirement for the load to be applied in any direction.
I also concluded that in most cases a minimum deck depth of 2x10 or 2x12 is needed for the tension/compression couple not to be excessive.
In any case, the detail above is generally acceptable and meets the standard of care, I guess. Despite the fact that an inward load is neglected, this is generally not going to be a life safety risk, as the railing falling inward normally won’t result is occupants plunging off the side.