Yes. Everything that the Precision rule could refer to takes rules priority over the Precision rule. Oops!
For sake of argument, if Critical Hits were a subset of Hits, then unless carefully written, class features/feats/etc... that grant critical hits would contradict Precision, and take priority over it.
And this is the problem.
This means that rules that tell you how to do something cannot be used.
So, critical hits cannot be governed by the general rule that tells you not to automaticly hit, as you claim? That means that you also cannot deal maximum damage with them, because while the 'General' rule of critical hits say you do, no power exists in the game that grants you permission to deal -a single point- of damage over what it claims in the text.
SPECIFIC (a power) beats GENERAL (a rule) AMIRITE?
I guarantee you that if -this- is the correct interpretation, you cannot so much as deal a single hit point of damage using fourth edition. This is because damage (a general rule) cannot deduct from hit points (a number specific to each class).
This is the natural ramification of the idea that 'specific beats general' meaning 'everything specific beats everything general no matter what'.
That is incorrect. Specific beats general -only when there is a contradiction.- And when you have a situation that has a rule governing it and tells you -exactly- how to adjudicate it, you -do not have a contradiction- even if it doesn't turn out exactly how you want it.
I suggest you reread "Specific beats General" beyond those three words, and read -the entire paragraph.- You will notice that it is -very- clear that it only applies when there are contradictions.
A contradiction is when you have a rule that says 'You score a critical hit on natural 20s' and a specific ability that says 'You score a critical hit on 19-20.' A contradiction -does not occur- when you then have a rule that says 'Some abilities allow you to score critical hits on numbers other than 20. Only a natural 20 is an automatic hit.)' because that rule is -telling you how to use them.- It is clarifying what those exceptions -can and cannot do.- Which means if that exception wants to do something other than that, then it not only needs to except -the first rule- but also -the rule that tells you how it works.-
An example of this is simple: If you have a push power, you always count it from the user of the power, not the origin point. As well, every square of motion must be away. We understand this. However, powers exist which change the point from where the pushes come from... those powers do not suddenly say 'Oh yeah, and you don't have to worry about the away part'. All rules that are not contradicted by the change in origin square -are not excepted by the power.-
And Precision is -not- contradicted by Holy Ardor.