ChatGPT is wrong a lot. You are correct and pic is correct.

It's a good question and there are a few reasons. First - it's important to understand why the neutral and ground need to be bonded. To start with, they're bonded in a single location in your whole system. This is done in the service entrance (usually the main panel). #1 - This provides a low impedance return path for ground fault to operate the breaker. #2 - This also provides a single reference point for the voltage of the system.

Issue #1 - When you also bond the neutral and ground at your end-user equipment, it means the ground wire is carrying some of the return current for the dryer back to the panel. You don't want the ground wire carrying equipment load current during normal operation - that's what the neutral is for.

Issue #2 - Having multiple bonding points between neutral and ground can also introduce ground loops due to multiple reference points with slightly different natural potentials. This can especially wreak havoc on electronics. Often less typical/significant in residential systems, but it can be a booger in higher power commercial and industrial installations.

Issue #3 - The neutral is a current carrying conductor. If you bond neutral to the frame of the appliance, the appliance is now effectively energized at a very low voltage (basically the voltage drop of the neutral back to the transformer). It then becomes possible for current to take parallel paths back to the panel. Practically speaking, it's not likely to be low impedance enough to matter, but there are scenarios when it can be a hazard to a person during normal operation (example - standing on a wet floor, you touch the washing machine (grounded frame) and dryer (neutral bonded frame) and you now become part of a parallel path back to the panel). Again - probably a bigger issue in higher power installations.