The instrumentation is different from tradition (both tone-wise and the fact that he's using a double violin for Aberi), but for the most part the melodic and structural elements are fairly representative. The feel of the raga is definitely conveyed accurately.
That said, the pieces you mentioned are heavily focused on the improvisational elements like the alaapana and the kalpanaswaram. There are also more structured and lyrical songs and keerthanas that you'll see a lot of recordings of.
Depends on what you're looking for. If you want to hear some of the more improvisational pieces, I like these two: https://www.youtube.com/watch?v=pUMGnUAVDeE and https://www.youtube.com/watch?v=ZDsjQvt2g6o. In my opinion, finding live recordings of concerts gets you a lot of the playful and melodic aspects of the tradition. It's also helpful to listen to the same raga by multiple artists across songs to develop a feel for the emotion in the raga.
If you want to go for structured, sometimes more religious, songs, you can find good stuff on Spotify and YouTube. This (https://www.youtube.com/watch?v=PqsAvDRjJ04) is one I like, sung by the same artist who performed Pi's Lullaby in Life Of Pi.
The improvisional stuff is definitely more what I was looking for.
Does this style of singing have anything in common to Qawwali? To my untutored ear it sounds not dissimilar to the Nusrat Fateh Ali Khan I've heard - but I'm assuming that's closer to Hindustani music (at least geographically speaking)?
I suggest Madurai Mani Iyer's renditions if you are looking for expertly rendered (from a puritan's POV) and hugely entertaining introduction. Two sample songs: www.youtube.com/watch?v=ya5fDVfmx_g and https://www.youtube.com/watch?v=7shwQLX6DTA.
Qawwali is similar to accapella and thrives on a cyclic rendition (similar to nordic "Yoikking"). Thematically, it takes both God and Love as themes and treads softly. Most Carnatic songs are directly about God and builds on the listener's knowledge acquired elsewhere to bring "completion". An example is "Hecharikaga Rara" depends on you knowing the statue of Rama was lost in the River Cauvery and Thiagaraja, the composer finds it and welcomes the deity home)
That said, the pieces you mentioned are heavily focused on the improvisational elements like the alaapana and the kalpanaswaram. There are also more structured and lyrical songs and keerthanas that you'll see a lot of recordings of.