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I'm used to more commercially viable units, but yes, if feeding a trigger to a relay that should work.
Also, when posting Amazon links, all that crap after the all caps is tracking info.
The correct URL would be https://www.amazon.com/Timer-Delay-Relay-Cycling-Trigger/dp/B01HNDOCKK...
IMO you're better off running it from a time delay relay. They're pretty common, and wait a (usually programmable) amount of time before de-energizing after the vehicle is switched off. This will allow some loads to remain on, for short trips away from the truck, like if you're charging a phone...