After a little digging it turned out that Pattabhi Jois' wife Amma, his first 'student', had also been given certification by Krishnamacharya, a pattern emerges. Had Manju also been to visit Krishnamacharya to receive certification I wonder, and was that why Pattabhi Jois had taken one or more of his early Western students along to Krishnamacharya, in the hope of them being offered certification or was that perhaps the interpretation Krishnamacharya had come to (whether correctly or incorrectly) and why he appeared to snub Pattabhi Jois and the students. Had Krishnamacharya considered it inappropriate, was it after this that Pattabhi Jois began to offer certification himself?
Here's the certification mentioned by Saraswati in the interview as well as the link.
And here's mention of Amma's teaching certificate from Krishnamacharya as mentioned on the KPJAYI website.
If Krishnamacharya was giving giving Saraswati a teaching certificate based on an examination of the Vinyasa count in 1975 it suggests that Krishnamacharya continued to see this as a relevant approach to practice and that he was supportive of Pattabhi Jois' teaching methodology.
*Of course this only tells us that Krishnamacharya was supportive up until 1975 when Pattabhi Jois was still teaching in the old shala (small, 8-12 mats) and hadn't yet travelled abroad to teach. Krishnamacharya may perhaps have disagreed later with the extent and manner in which Pattabhi Jois was teaching non Indians.
It does however suggest, as suspected, that both the early and latter teaching approaches/methodologies seem to be constant with each other and no doubt complimentary.
Here's then a link to an earlier post
One approach to learning the Ashtanga Sanskrit Vinyasa Count..... Sanskrit Numbers and Vinyasa chart with states of asana indicated plus 'meaning of asana'