I've had youtube videos play just fine today, maintaining 53 tabs open like I have now across two Chrome windows.
I've actually not suffered stuttering in a long while. Last time I did, it was because I had like over a hundred tabs in Chrome, and probably around 50 open in firefox. Most of those firefox tabs were high in media or interactive content. Some in Chrome likely were too, especially once the flash ads are factored in.
That, plus the computer having an uptime of a few days, with all those tabs persistent, started to cause streaming video stuttering, oh, and also a GPU kernel panic (display driver crash) though, like that instance, things usually pop up a split second afterward as the driver recovers 2D acceleration potential... yeah, all of that kind of caused Windows/the display driver/both browsers to start freaking out over resources and fail to reach any deals with each other. A reboot and all was well in the world, even loading up those very same sessions in both browsers.
If you get video stuttering, I urge you to look into your GPU driver and see if a fresh clean install of the latest version doesn't help solve that problem. It's absolutely not a Chrome issue.