Kudos to BA
After one month, and with a little prodding from me due to lack of response, BA has agreed to remit full compensation for this delay. No haggling, no issues. It was a pretty straightforward case.
The hangup was due to the fact that I was making the claim and requesting payment sent to my bank (as I paid for the ticket), but my wife was the passenger, and so BA requested her to sign an authorization form, which I emailed back to BA this morning and was then notified of the compensation within about 20 minutes.
Now let's see how long it takes for the funds to arrive in my account. I don't anticipate any delay.