The formula is correct and demonstrates that, theoretically, the axial load does not depend on the pipe spool length routed between nozzle and anchor support.

However, other variables should be considered when it is intended such pipe support arrangement to be analyzed: friction factor between pump base-plate and foundation plate, pump base-plate anchoring arrangement, anchor support construction (including the inherent flexibility), bolted flange joint gasket flexibility, and maybe others (depending on the real system configuration...).

A typical and simplified pipe stress model (e.g. full anchor support, pump body assimilated with rigid pipe elements fully anchored at base) cannot yield to a satisfactory/realistic solution...although I admit that I also met such EXISTING non-typical (and, maybe, non-recommended or "strange") piping routing and support arrangement nearby pump axial suction nozzle.

However, till now, I've never met a project design documentation that demonstrates satisfactorily such design solution...

My advice for "Mtm" is:

A bolted "anchor"-type support might be feasible if the pipe support shoe/dummy-leg base-plate (as applicable) has slotted holes, and no initial anchoring-bolt tightening/pre-stress is applied at installation. The slotted holes size should "compensate" the thermal expansion of the straight pipe spool enclosed by pump nozzle and "anchor" support, and the potential axial thermal movement of the pump nozzle. Therefore, the newly/modified pipework might be designed accordingly.

Another option would be to replace that "anchor-type" support with a REST + GUIDE + HOLD-DOWN support, allowing the axial thermal expansion of the pipework...

If the anchor support base-plate is welded to the foundation plate, then you have a "high-level" difficulty problem indeed...

Good luck!

Regards and A Happy New Year!