Third update: Thereafter I also sent LawFirmB a very similar (if somewhat snarkier) response... sent back to the same junior guy who sent me the original demand. He had cc-ed his own senior partner on the original mail so of course I felt obliged to cc him as well:
"So your email doesn't really contain any useful information... no reference number for any specific trademark of concern, no claim for relevant jurisdiction, not even a clear statement that you actually have any authority to represent CompanyA in any capacity. I had to validate this last point directly with CompanyA themselves - as you will appreciate, getting a response has taken quite a while due to the Christmas vacation period."
"For the record, here is CompanyA's direct response to me:"
"Now on to the matter at hand. The email address in question CompanyA (at) myPersonalDomain.id.au :"
"I am a proud CompanyA alumnus. We parted on good terms and I still regard the firm very highly. I have never used any CompanyA trademark in a misleading or deceptive way, and I have no intent to ever do so. Furthermore, I have taken all reasonable steps to secure the email address in question, in order to prevent anyone else from using it in any manner contrary to it's pre-existing purpose as stated above. In short, I believe I am already fully cooperating with CompanyA's desires on this matter. Your demand is both groundless and ill-considered. Nonetheless, if CompanyA's own internal Legal department has reviewed my response herein & still somehow believe this situation remains an actual problem, I would welcome a direct & amiable discussion with them. I'm sure they'll know how to reach me."
"Finally, on a personal note... why would you possibly think it's a sensible idea to harass your client's own alumni for such a trivial matter, during the holiday season no less?"
"For the record, here is CompanyA's direct response to me:"
[contents of my "first Update" above]
"Now on to the matter at hand. The email address in question CompanyA (at) myPersonalDomain.id.au :"
[all the bullet points from my "second update" above]
"I am a proud CompanyA alumnus. We parted on good terms and I still regard the firm very highly. I have never used any CompanyA trademark in a misleading or deceptive way, and I have no intent to ever do so. Furthermore, I have taken all reasonable steps to secure the email address in question, in order to prevent anyone else from using it in any manner contrary to it's pre-existing purpose as stated above. In short, I believe I am already fully cooperating with CompanyA's desires on this matter. Your demand is both groundless and ill-considered. Nonetheless, if CompanyA's own internal Legal department has reviewed my response herein & still somehow believe this situation remains an actual problem, I would welcome a direct & amiable discussion with them. I'm sure they'll know how to reach me."
"Finally, on a personal note... why would you possibly think it's a sensible idea to harass your client's own alumni for such a trivial matter, during the holiday season no less?"