I share your interest in good terminology; but it looks to me like it's probably far too late to get rid of 'The Singularity'.

I expect marketers to play along - but probably not scientists - or at least not serious ones in the relevant fields.

There are already a few exceptions, though. For example, Robin Hanson is apparently trying to rechristen the agricultural and industrial revolutions as being "singularites". However, I think most historians will go the other way around. The "industrial singularity" will just sound like crazy talk to most people.