Something on the page should be loading kendo, it's not like a base library thats arbitrarily added.
Widgets use the ResourceLinks widget and say what they need, kendo, jquery, angular, whatever. Then the widget makes sure it's only loaded\sent once.
So there's GOTTA be something on the page that references kendo, maybe in the masterpage or something? What about creating a page based on your template and see if it's there?
What might speed it up in the short term is changing the script defs from KendoAll (bloated) to KendoWeb, and use the CDN option so it's downloaded faster and in parallel, not in the resources.axd.
Get your kendo version and use the https cdn from here:
Kendo All contains Mobile and DataViz, which it sounds like you dont use so go nuts...
Change it in like Settings->Advanced->Pages->ScriptManager->Kendo (off the top of my head, somewhere like that)