In my experience, this all depends on the users.
If your users are higher tech users on desktops, their screens are quite likely to be a lot greater in width, and it would make sense to build in full-width.
However, there are still a very large concentration of markets which are low tech with small screens, large screens with low resolutions (aka widescreen TVs), and small screen tablet and laptop users.
Plus, there's context on the work you're doing. Does it make aesthetic sense or would it be weird? I've seen a number of websites which went full width full bleed and the outcome was disjointed. There are a ton of examples where the application of such turns out great - but the ones which aren't great are the ones I like to find to learn from.
I say this and it may sound like I'm against full bleed - but I'm actually not. There have been several client projects when it made perfect sense to have full bleed widths. It supported the branding, centralized the eyes on the content, and made quite the impression. What matters is context. Everything is contextual to the users.