So, almost a month ago I posted a link to an article noting that Avid had released an update to ProTools that supported Mavericks, but in the release notes it mentioned that co-installation was not supported.
As it turns out, I can confirm that, at least in a limited role, you can keep and use ProTools 10 (10.3.2, to be specific to my case) and use it while having ProTools 11 and OS 10.9 Mavericks installed.
As it turns out, ProTools 11 has a bug about importing AAF/OMF files. The only suggestion offered by Avid is to open the AAF in 10.3, save, and open back up in 11. Of course, you're not supposed to be able to do this in Mavericks, according to Avid. So thanks a lot, Avid. But, you can get ProTools 10 to function in Mavericks, but be careful, as Your Mileage May Vary.