I don't think that's the main issue - after all, if adequate main bonding (and any required sipplementary bonding) is in place, then it should be perfectly OK to 'take a bath on the neutral bar' (or anything connected to it), even in the face of a supply neutral fault! I think the much more important reason for not unnecessarily connecting things (like isolated baths) to earth is that it increases the risk of shock should someone be in contact with something live (the frayed lead of a vacuum cleaner is often cited!) when they touch the 'unnecessarily earthed' bath (or whatever).
Kind FRegards, John
I agree with your main point but was just looking at it from a different perspective. There are many scenarios to consider. A modern house may be piped in entirely plastic (including incomers) and only non extraneous runs of copper inside, therefore having no MPBs (unless pointlessly clamped to MPDE!) and therefore no alternative paths for the neutral current to take.