Sigma Item placement varies from NGB. I took note of Kanis document then restructured the shopping and menuing we do in my or TGD route (aside from incidental spirit elixir usage). This game is still at beginning stage so there is going to be occasional update once a better route exist. This document should help you waste as little time in the menu as possible so feel free to use this.
The key thing here is to just plan your equips ahead of time so that you don't go into the menu extra times. Remember Great/Small spirit elixir pick ups/usage varies from each players. I will post an update log here if there is any changes.
https://docs.google.com/document/d/19bycyQV-hjcwn1TYyeGys5j8c2tLUj3H0zsNm0NgBUE/edit?usp=sharing
By the grace of Master Ninja Deity, the awesome @Mysterion_06_ has finally blessed Ninja Gaiden Sigma with an autosplitter ( with optional key item and golden scarabs splitter ) and a load removal script. All of this is integrated into LiveSplit for you to peruse at your leisure.
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