One possible drawback of IBIS is that since the sensor is able to move, heat management can be more difficult.
Jim Kasson has been studying the dark noise from various cameras and I recall that A7RII has some increase in dark noise in a series of long exposures relative to the A7R. A7RII has IBIS which wasn't present in the A7R.
http://blog.kasson.com/the-last-word/a7r-self-heating-for-long-exposures/ http://blog.kasson.com/the-last-word/a7rii-self-heating-for-long-exposures/Now, it might not be an issue for most people who don't do e.g. astrophotography with a series of long exposures, or long exposures at night, but the same phenomena may be affecting the camera during recording of 4K video; although I have no idea of how common this problem is but some Sony users are reporting overheating of the camera in some circumstances. I don't know if the heat is generated in the video processor or the sensor, battery, or all of them. However, I suspect IBIS plays a part in making it more difficult to keep the sensor cool during extended usage since one can not fix a large area heat conduction path from the components if they have to have significant freedom of movement.
Anyway, this is a minor issue but as 4K recording gets more common, heat issues need to be attended to. I haven't had camera heating problems as I don't do much video, but I did experience the SB-900 overheating when I was shooting formals for a July wedding in bare sunlight. Before, I had never experienced overheating of the flash as I had been using it for some time only indoors, and I didn't use the full flash energy, but outdoors it became necessary to squeeze as much as possible from my three speedlights and the SB-900 dropped from the game very quickly. I since got SB-910 and SB-5000 which contain progressive improvements to the issue; I think the SB-910 has changed hardware to minimize the issue and the SB-5000 finally has active cooling so one can use it with full output without concern. I think Nikon managed this problem quite well although the best efforts are seen in the newer flashes.
I think IBIS is best fit to a mirrorless (or SLT) camera as if you implement IBIS in a DSLR, the viewfinder no longer shows the precise framing of the image and it may also lead to problems in positioning the AF sensor point accurately on the subject unless the AF point position markers are moving according to sensor movement also in the viewfinder. In a mirrorless camera system, the merits of IBIS are more clear than in a DSLR and I feel it makes sense for Nikon and Canon to stick with in-lens VR / IS technology for DSLRs to keep the accuracy of the viewfinder and AF point position. Finally since in-camera stabilization was invented by Minolta and further developed by Olympus and Sony (if I've understood the history correctly), I think there would likely be license fees for Nikon and Canon to pay if they want to implement IBIS in their cameras. When they make mirrorless systems, they may consider it although not invented in house. Canon made a few IS prime lenses (24mm, 28mm, and 35mm) and Nikon the 24-70/2.8 VR and 16-35/4 VR to cover applications where stabilization is needed on a shorter lens. There are also f/1.8 stabilized prime lenses (35/1.8, 45/1.8 and 85/1.8 VC) from Tamron available.