Arguably CTA isn't exactly an obscure acronym. It's multi-disciplinary - quite common in UI/UX design and marketing; and also decently common in any branched of software engineering that interact with these topics, like... web development.
I’ve worked with marketer types for over a decade and had them use the initialism “CTA” hundreds of times, understood it, and yet still in this comment I had no idea that they were referencing that term. If this was a UI diagram I’d have had no problem. This seems to me like a case where using an initialism in a different context than it usually appears confuses readers. It would kind of be like saying “I plan to GTM for a few things after work today.” You may recognize that as Go-To-Market if I said “the GTM team” at work, but it is strange outside that context. Outside a marketing or UI context I don’t think people usually initialize “CTA.”
“Call to Action” is common. CTA instead of call to action is not common.
It might not be obscure in an environment that lives on 'social activity', but I can assure you -- and I am saying this as a person, who survives daily barrages of acronyms, CTA is not common.
It's specific to marketing and it's a term I've only seen used when you are trying to sell a product. In my mind, CTA means "the button we are trying to make you click on by any means necessary because we make money when you click on it"
I've worked in software engineering on Internet things for decades and I have not once heard or seen this abbreviated before.
CTA is very obscure. As a mobile dev I refuse to call CTA as anything other than click or tap to action in which case it should be TPA. Also many folks (esp. PMs confuse CTAs with button clicks). Anyway, CTA in this context didn’t even ring a distant bell either for call or click and I am glad it didn’t.