This image is a meme. Don't assume it's true, leg alone for all regions and situations. The only region and context where this is true, in my experience is professional interactions with Parisians. They will hate on how people from other departments speak even.

Even in professional interactions with people from other departments I've never really had issues being understood with my non-perfect French when it was only at a level where I clearly only had school-French.

In non professional context most people will just be happy they can talk to you and be impressed you can while often they can't speak another language very well, most of the time.