That TCI 428501 is a Mopar filter. As seen on the Summit site.
It requires an adapter to mate with the C6 valve body.
TCI website is no help.
For ALL their filter options, they show a generic photo of a GM 4L60E filter kit.
There are 3 different factory filters for the C6.
The early "flat" filter for the passenger car shallow pan.
Slightly deeper filter for the later "Truck deep pan".
Truck 4X4 filter that is basically the same depth as the "Truck deep pan",
except it has a rubber grommet and a small tube extension for the deeper yet 4X4 pan.
The 4X4 "Ford type" filter is what came with my Summit branded deep cast aluminum C6 pan.
I don't know the depth of the TCI pan you have, or if the Ford 4X4 filter would fit.