Ninja
You are correct of course in that controllers have to prioritise and your phraseology was perhaps shall we say unfortunate in that those with less experience may get the wrong view of CAS and access. Our UK controllers are generally superb and do a good job for all the traffic for which they are responsible. That being so then I am sure some would not like the implication that GA, in all its' forms, would not be given access to CAS subject to airspace loading.
BTW what about the IFR traffic in CAS that is not flying airways, where do they come in your list of priorities?