Hmmmm. Does the licence of the tool affect the output from the tool? Photoshop is propriety but Adobe doesn't have to explicitly grant me rights to the work I create with it.

Usually no, unless say, the tool put some part of itself in the output.

The license of GCC doesn't affect the license of your binaries.

The license of python doesn't affect the license of your software.

etc.

You only need a license for the copyright though, in the worst case you waive your right to distribute your derivative code if it has been used for commercial applications (which would be a weird interpretation, but I can't find a precise explanation what the 'non-commercial' license covers).