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With propane, there are HIGH and LOW pressure appliances.
A typical home gas grill has a 20# tank, a regulator and hose attached to the tank, and LOW pressure feeding the grill.
Many camp lights have a 1# tank screwed directly onto the light, no regulator seen, and is fed HIGH pressure directly from the tank to an internal regulator.
The question becomes what feeds your camp stove? If it is a 1# tank, then it needs HIGH pressure, and no, that line will not work. If it uses a bigger tank with a regulator, then yes, it will work.