With this argument, every release that adds a new keyword (for example) would have to be given a new name, since it will very likely break some code. Question that remains is how much must the changes be before the thing deserves a new name.
I don't think the idea is to force existing software to be rewritten. It's to provide a clean break so that new software isn't saddled with the baggage of the old. Over time, most of the older software is retired or replaced, and the industry migrates to use the better tools with more and more projects.
This seems a very reasonable strategy, as long as your ABI or equivalent interface specifications can remain compatible for the common subset of functionality, so that programs built using the new language can still use libraries written in the old one. (See also: Every successful general purpose programming language in decades has offered a FFI for C.)
It doesn't work so well if you don't have proper formal standards for your old and new languages. It's also much harder to achieve in practice if your code is effectively running on some sort of virtual machine so you can't have that clean break at the ABI level, which might be one reason why several languages have failed to make a convincing big jump in recent years (Perl 6, Python 3, etc.).