Wouldn't that defeat the purpose of an ECS? I mean, having logic leaking into the components?
There's a number of benefits of removing logic from components: it makes them more re-usable, it prevents them from having any dependencies they have on each other.
It also allows you to have external code that reasons about them as a group. For instance, if your all your rendering code does is call a Render method on every entity's Renderable component, then it has no way of intelligently sorting things by material, efficiently culling things, or changing the underlying rendering mechanisms (fwd rendering vs deferred rendering, etc...).
In this case JordanBonser's case isn't quite like that. There is an additional abstraction, since the component just contains a Mesh object, and that is the one with logic. But having a Render method on Mesh still has the same issue as above. In my opinion it would be better just to have the Mesh object expose a material, vertex buffers, etc..., and then have external rendering code that can do with those as it pleases.