Yes, it seems like that is a common way to approach it. However, that doesn't appear to be the way the designers have been handling it. Not only is it unclear in the rules themselves, but if you look at all the various official adventures, the designers seem to be just as confused as we are. In Lost Mine of Phandelver, there are some things that call for a Perception check in one section of the adventure but an Investigation check in another. I'm pretty sure the Tyranny of Dragons modules mostly just use Perception. Princes of the Apocalypse, however, mostly uses Investigation for finding secret doors and the like. I haven't read all the way through Out of the Abyss, so I'm not sure about that one. Death House has no Investigation checks. It's all Perception checks. So it's like the designers can't even make their minds up about when to use Investigation vs Perception.