Those are almost exactly my use cases too; my difference is that I don't watch video but I do take my notes on the ipad, writing with the pencil. This works great because documents seamlessly work between the two devices.
By far I use the MBA the most, but the ipad is much better for a small number of use cases that are worth my spending on. And for those use cases the ipad air is sufficient, especially as I can now get a larger one. That's similar to the macbook air: I'm clearly a "pro" or "power user" and it has more than sufficient oomph (note: when I type 'make' the compilation doesn't happen locally)
Could you elaborate a bit more on your note taking workflow? I have an ipad and a macbook but I haven't figured out the best way to use them together that doesn't involve connecting with a cable and manually dragging files around in the finder. (The corporate admin has disabled icloud, which doesn't help).
I have a lot of pdfs on the laptop. I'd like to send one to the ipad, jot some notes, and send it back in a seamless way. Or generate a quick drawing on the ipad and easily add it to a document on the laptop.
I use notes and notability, each of which syncs using icloud. I also use the feature (I don't know the name) of the shared clipboard which also I think uses icloud for authentication.
Finally, if I, say, download a PDF from my computer, I can open it from the ipad because my downloads folder is in iCloud. This one, at least, you could use use if your company permits a different cloud provider.
Agreed about the iPad Air. The Pro is really a splurge upgrade over the Air. It's worth it for me personally, because I use it so much for photo editing, but I think for the vast majority of people who are smarter with their money the Air adds just as much practical value as the Pro.
By far I use the MBA the most, but the ipad is much better for a small number of use cases that are worth my spending on. And for those use cases the ipad air is sufficient, especially as I can now get a larger one. That's similar to the macbook air: I'm clearly a "pro" or "power user" and it has more than sufficient oomph (note: when I type 'make' the compilation doesn't happen locally)