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An argument implies a contradictory position, but we both agree the point you are trying to make.
You point that spamming holy lights probably gives better throughput, and that is something I fully agree with - in a fight like Patchwerk (or, for that matter, even Brutallus). (Un)Fortunately, it's not always the case where you can just stand there and spam one button and fall asleep halfway.
My point is that with intellect stacked my problems appear when I'm not able to stop spamming Holy Lights to perform simple and quick tasks such as refreshing Judgements of the Pure, Sacred Shield, ..., without fearing a dead tank.
In fights where I actually have to move and, by necessity, end up doing pretty much everything reactively during that time, crit+haste saves my day and intellect just means I'm sitting in a 75% mana pool with a dead tank/assignement (with people asking me on ventrilo "Why did the tank die?" and my answer is "I had to move.").
Considering holistically the boss encounters I've been in, instead of picking a specific fight or two, I would say crit+haste make me a better healer than having a quasi-infinite mana pool. My view is that what is important for me, as a Holy Paladin, isn't how long I can heal (realistically, I'm never out of mana when it really matters even without stacking intellect) but how much I can heal during critical moments.
I find it hard to believe that the difference between choosing between an extra 100haste or crit would make a magical difference in your ability to heal on the move or while refreshing your non-healing spells. Or that an extra 100 Int would mean your mana pool somehow stays at near full levels for non-stop Holy Light spamming. Please try to be realistic, at the very least.
And for crit/haste to have any noticeable effect on your HPS "during critical moments": those moments would require some obnoxious amount of damage which means cooldowns will be used to mitigate it. Considering how out of whack the raid content is right now, it'd be hard to run in a situation where gemming for crit/haste would make such a monumental difference that it would be preferable to gem it over the alternatives, mainly SP (which I think outclasses crit/haste for output) or Int.
Edit: Wasn't clear enough, apparently.