Not that he doesn't deserve it, just not for this.
Obama attaching his name to net neutrality was guaranteed to have this result. First, I seriously doubt his commitment to the issue, or even understanding of it, and second, it just brings the nutjobs out of the woodwork.
Net neutrality is at its fundamental level simply about treating similar traffic similarly. The idea of metered access with fees for various types of services and degradation of quality of services based on type of traffic is the problem. Sort of like if you got charged more for electricity based on some arbitrary criterion, or if you only were ALLOWED to have rationed electricity, unless you were a business partner with the electric company.
Now, you might say there's no real problem with metered access and charging differently and making deals, but remember, if you look at this on the protocol level, to have this kind of differentiation, you need to be able to identify both the source of data and its destination, as well as what kind of data it is, in order to differentiate between types of traffic.
By definition, any kind of anonymous traffic is going to obscure this data, and any non-neutral scheme of access is going to assign that kind of traffic the lowest possible priority.
In other words, either kiss your anonymity goodbye or get used to it being slow as fuck, because ISPs if allowed to do so will either simply drop such traffic on the floor or shunt it off the highway onto an ungraded dirt road. Only packets that can "show their papers" will get enough bandwidth to be functional, and you can expect service to be deliberately degraded even when the infrastructure is entirely sufficient to carry it, simply to extort more fees out of you.
Needless to say, the protocol-level changes that would make it easy to meter traffic like this would also substantially help the government spy on us even more than it is already doing.
I almost wish Obama had denounced net neutrality as a right-wing scheme of some sort, then the same gibbering wackos currently attacking it would love it.