It certainly doesn't hurt to do a 'pre-burn' inspection on the door gaskets, shaker mechanism, door hinges etc.
Sort of like a 'pre-flight' inspection, or often called a 'walk-around'.. we walk around the airplane to make sure some ramp operator didn't run into the airplane with a baggage cart, or a fuel truck etc... We also inspect the tires for cuts, damage etc..
I see no reason to not do the same with any appliance burning wood or coal.. I checked gearbox oil levels,, lubricated rollers and chains, inspected belts, and gave the AA boiler a pat on the water jacket before I fired it up this season..
As for the Hitzer missing the hitch clips on the shaker linkage.. this is the first time I've read about something amiss with a Hitzer stove.. at least it was an easy fix... You didn't find the pins in the ash pan or bottom of the stove at the back where the ash pan would push them??