Yup, although different strains of Tinkertech degrade at different rates and in different ways. Botnet's stuff required him to be alive, well, and working on his network at least weekly; other stuff just cannot be replicated. One of the reasons Bakuda is so terrifying is that her stuff doesn't degrade at all- it can be stored, implanted, and detonated by anyone, but only works once.
No, Taylor did find a lost shipment- but at this point, the Tinkertech's all busted back to base components. Taylor didn't even bother grabbing the Tinketech bits- just the circuit boards and materials surrounding their broken remains. If the PRT found the shipment, they'd find every scrap of missing tinkertech- and none of the normal computer hardware which was used to run that tinkertech.
Even Squealer needs an engine and four wheels, (or eight, sixteen, and a pair of treads) Armsmaster still needs basic steel and glass, and Bakuda needs gunpowder and grenade casings. These things may get integrated with Tinkertech, but they're not- they're just components to the wider systems which rely on Tinkertech to function.