Yes, the items shown by Kirk are not Tete-Beche because they are not Head-to-Tail.
Warrehouse said T-B should be the same stamp and that is also true. I think we gave Se-tenant stamps that are Head-to-Tail a new name a while ago.....Se-Tenant Tete-Beche Pairs !

What Kirk has are Head-to-Side which is not common, at least I don't recall seeing too many. So maybe this would make a neat Topical Collection and would pose quite a challenge.
In answer to Rohumpy's query about the Diagonal stamps, they are also not Tete-Beche as the pair needs to be joined and the two diagonal stamps are not.
The same goes for self-adhesive looking Tete-Beche pairs. The die-cutting means that they are not truly Tete-Beche because they are not joined. They are merely Tete-Beceh in relation to each other but not a Tete-Beche pair.
All triangular stamps of the same design are printed Tete-Beche.
Londonbus1