If the 12" x 16" tray can hold 12" x16" paper, then Paterson themselves seem to have it wrong:
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Developing Tray 12x16" (for 11x14) -
This Paterson Developing Tray is constructed of a hard durable, chemical resistant plastic, and is available for all popular print sizes in 3 colors to help differentiate between chemicals under safelight conditions. This is a single white tray that is 12 x 16" (30.5 x 40.6cm) in dimension...www.patersonphotographic.ca
That is a listing hosted by the Canadian distributor, Amplis. Amplis is also the Canadian distributor for Ilford, Kentmere and Harman products.
Amplis doesn't do 12"x16" paper easily

They do distribute lots of 11"x14" Ilford and Kentmere paper.
And Paterson doesn't make an 11"x14" tray.
Ergo, the 12"x16" Paterson trays are the ones they describe as being for 11"x14" papers.
Q.E.D.

Here is the Paterson site: https://patersonphotographic.com/product/paterson-developing-trays/