hmmm, i don’t think it really depends.Really depends on which years and type of system and price bracket and people you're speaking about...
Panasonic dominated the tape video cameras with their Varicams in those years, or Sony dominated with the FS7 way before the a7SIII - and the a7S I and II were also mega successful as well - or there was the RED and Blackmagic world where many from there wouldn't use a Japanese camera again after experience with those systems, or Canon is still today untouchable in the photography world (a lot of pros use other systems, but overall it's a Canon world for stills).
If we're just talking about Japan then I would agree that Sony has an edge over Canon and Panasonic right now.
In Hollywood, they would be option #3 for most.
I’m talking about video cameras. no other company has dominated in that industry as consistently as Sony. You could parse out a sub group where another company edged out a w. But for dedicated video cameras, Sony has been there the whole time. Canon held the hybrid stills sector for a little bit until Sony began making inroads with their Mirrorless bodies. And now with their lenses maturing, and improved color science, they are solidly taking the hybrid space for the more video conscious shooters. keyword video. Sony has been at the forefront of digital cinema as well, and has remained relevant. Arri and Red can claim selling more high end bodies, but they aren’t able to claim having the huge sales numbers in the consumer sector, prosumer sector, broadcast sector, and having a world class cinema cameras. So, as awesome as Arri is, they sell in a niche market. Toyota dominates, but Bugatti is the status symbol sort of thing. Nissan has the Skyline and the GTR, but Toyota still dominates. You can’t discuss video without Sony.
Panasonic, Canon, Ikegami, JVC, Grass Valley/Thomson, Arri, Red, Blackmagic, all made splashes, but Sony has been their competing with all of them in every sector all the way until the 5Dmkii, and Sony didn’t have a true counterpart for a few years, which allowed Canon to make big inroads with their EF lenses into the video space beyond broadcast zooms, and even the fs7 was most often seen with an EF attachment. But with the A7S3/FX3/FX6 era, it feels like the Canon reign on hybrid video (not hybrid still and video)has been quieted. We’re even seeing a lot of people beginning to use Sony lenses.