How much coverage will you need with your typical video? I've not got a video light, but I've used my focus lights as emergency video lights on rare occasions. (I almost never shoot video).
My focus lights are a 2400 lumen Fishlite V24 and a 3500 lumen Kraken. Both are very bright for focusing and have multiple power settings, red light, etc. However, when used for video, even the Kraken only throws decent coverage for about 1-2 feet diameter at close range. Video lights underwater must be insanely powerful to do the job.
Now if you want to shoot videos of macro subjects, a focus light will do.
If you want to shoot wide angle scenes, no video light will do - if you are thinking of covering the whole scene. Unless you are in a very restricted environment like a cave or shipwreck, a video light just can't light up everything in a scene. More like balancing a dark area against a light one. (Maybe over/under shots for instance).
If you want to shoot mid-range, like a diver or two (full-body) relatively close, a pair of powerful video lights will work. The ones I've seen on my dives (like videographers capturing your Kona Manta Ray dive experience) are just incredibly powerful with price tags to match.
I'd just specialize in two strobes for still photography for now. For video work with ambient lighting - in most wide scenes I do I have to deal with ambient lighting outside the range of my strobes (still or video), and that means mixed color temperatures across the scene. Sometimes it's just better to crank up the ISO.