In the current API-650, Equation E.6.2.1.1.1-1 includes a term for 0.4W-int in the evaluation of J, which is the effect of pressure uplift.
This has been changed in more recent editions, and older editions didn't include this term, so an existing tank may not have included this interaction. Or, if you're using an outdated edition, it may not be there.
Logically, the seismic uplift would be included in the maximum pressure equations in Appendix F as well, but currently isn't.