Earlier quoted context omitted.
GPL may as well mean radioactive as far as legal is concerned. A friend worked at a company where they banned GIMP as they feared that editing logos and other trademarks in it could invalidate them. Even working for a tech company, I don't think I would suggest using anything GPL as it would cause a fuss.
I'm not a lawyer, but I'm pretty certain that's not how the GPL works. It has no effect on the content you create using the tool. It places restrictions on redistribution of the code itself. I don't think there are any limits on what you do with gimp or blender, unless you are modifying its code and redistributing it.
If you're a senior enough manager and have a legitimate business reason then you can often push back enough and get them to give in, but it's really a question of whether it's worth your time and effort internally.