The problem with most of the weld in repairs is that all the finish on inside is going to burn off in the weld area, and as mentioned there will be lots of other areas inside to address.
The best way, in hidden areas like this is to fix rusty sections and then drill holes in it to accept the rustproof shop type plastic plugs. Do the drilling before the paint, so the hole edges get painted. Paint up the panel, do a full penetrating rustproofing spray in the inside areas through the holes, making sure you get the front surface where the weld are very well, and then put in the plugs. As long they are hidden, you can put the holes wherever it takes to get a good coating of rustproofing inside the cavity.