It would make more sense if the manufacturer gets upset with you if you buy competitors planes. Meaning Airbus is ok with you adding Embraers or Bombardiers to your regional fleet, but opting for anything from Boeing will damage your relationship.
They would be offensive if the person naming them uses AE to advocate stripping groups of people of their rights or killing them, which I doubt is the case. They're just 'edgy' jokes for brief giggles that get old very quickly.
And tbh I find it more offensive when I see the name and branding of a real world carrier on an airline operating out of a completely different country