Hello. Thank you for contacting the Toolset support.
Well - could you please check now, I see the first record it displays has assigned the seniority level = 1. Is this your expected result?
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Looking at the debug details, I noticed that you have a Query Filter to specify which terms are included, and wondered if there were a problem combining this (which adds an include argument to the WP_Query) with ordering by a term field.
So I first deleted this Query Filter, which made no obvious difference, so I added it back.
Except, after adding it back it spontaneously started working.
Unless you were simultaneously changing things I'm not sure what happened, but it appears to be working, please confirm.
For some reason the View presents correctly when using the shortcode: [wpv-view name="agent-view-for-team-pages"]
But not when using what I thought to be the more specific and correct shortcode: [wpv-view name="agent-view-for-team-pages" orderby="seniority" order="asc"]
I just tried the same locally, and when inserting the View if you set the orderby argument, it says to use a term meta field for ordering you should specify orderby="taxonomy-field-seniority", it is not enough to say "seniority".
It is not especially intuitive, but a close reading of the description specifies this.