One reason I don't use OpenDNS.com or Google DNS is that it means I might not hit the optimal CDN for me. Maybe they have improved things but last time I used it, I often ended up hitting CDN end points that were not optimal. For example, downloading MSDN content was slow. If I switched to my internet service providers DNS servers, I would hit a more optimal CDN end point that was faster. I had a similar experience with Netflix.
Note my example with MSDN took place a while ago so it might be replicable today.
It might be worth trying again, at least in theory, you should get correct CDN endpoints whatever happens. I suppose there might be an exception to this if a CDN has edge nodes within your ISP though. There's a bit more detail at https://developers.google.com/speed/public-dns/faq#cdn
Using OpenDNS does not provide all the benefits of running your own DNS server where "benefits" includes fine grained control.
Additionally OpenDNS has some behaviors that network admins aren't crazy about. OpenDNS will return an answer for queries with no authoritative match. For example, if you query `dig noexist.example.com @208.67.222.222` (that's an OpenDNS resolver IP), you'll get answer: 1 and an IP address. This is considered a "feature" by OpenDNS, but from a purist's perspective, it is a breakage.
We do not run our own DNS server for client name-resolution, because we don't have any need for the control it provides. I acknowledge that some people do, however.