as for the actual topic I feel that a combination of different things makes the most rapid and efficient curse curing system.
The mt group likely uses some specific cure order so that heals remain incoming on mt and they will generally be the last healers to cure people out of their group for the same reason.
An OT group that has much less incoming dmg and with probably two healers might decide to play a combination of cure order and race game with preferably the non shaman curing curse first unless the shammy happened to be between casts and "beats" the other healer to the cure in which case the non shammy would cancel cast and carry on with his shit. (i assume here that most offtank groups run with a shammy if the raid has more than one)
dps groups with single healers would likely be running out of curse cures first so they may have to call on Vent or in a macro for a cure to be made on a specific person. 2 healer dps groups wont really be spamming vent for cross grp cures for quite some time so just expect that and make sure calls for cures are short and specific with "cure name in group 1,2,3 or 4" prefereably. Then it is just a race game once again with first person macroed to that channel completing their cast. (these methods wont work very well if your voice chat is not quiet during kills but if your guild prefers chat channels then again you will need a relatively "quiet" channel for curse curing macros and healers need to pay attention to that shit)
On a side note: it is very easy to make the guild use a standard macro for curse cures both to group and to the raid for the purpose of these "races" (think of it like the standard resurect race type deal basically). Also it is quite nice for making ACT triggers to make a sound when your fellow healer is curing a curse. This will allow you to easily ignore curing that curse without even reading any chat and to step up your heals within your group as your mate is no longer healing your group or casting standard cures etc etc etc.
also an idea is to make triggers for every curse type hitting a person so that you immediately are on the ball. some encounters even warn you before hand if you are getting cursed so you can again make triggers for it in ACT and warn healers well before so they can sort out who is gonna get it cured.
In response to various other people in no particular order and barely relating to cure curse topic at all!
1.hmm I wonder what makes any ward or heal land for higher than the amounts listed on spells... whatever could it be? I'm really stumped by that mystery... maybe it is this value in my persona window called heal crit? and hmmm I remember some other words on some items with crit too... hmmm.... was it crit bonus? does Our stance have that too? maybe some of those items that boost the next heal amount apply to these spells too? who knows!
2. non healers self curing is oh so efficient! wonder how that one will work out while single healing a tyrannus dps group as a mystic. or on anashti or on zarrakon or on anything that has more than one effect really... I'm sure my dps classes will be shouting my praises over vent as they struggle to do dps while having to pot cure or as a mage; pot cure
and single cure arcane on others as their healer continues to focus solely on casting heals/wards while they remain debuffed and stunned/interupted/KBed/powerdrained etc etc.
hell even on kultak and some other easier mobs the dmg shield detrimentals should be cured instantly or dps is going to go down to shit. Do you honestly just allow these effects to expire? If so you must think the strange stalker is an uber hard mob if thats the case! for me the cure line parses quite high in general on mobs with those random cures and will absorb subsequent dmg shield triggers and also take the edge off of subsequent ae's.
4. another thing, I'm not to putting the res line down as it is actually awesome for learning encounters but once you have a working strat it is pretty much very limited in use

working strats tend to involve zero deaths and even if you take into account an 'unlucky' death of someone on an encounter where dirges would not be able to res in a heartbeat ie anashti, those dirges can have signets to cover two deaths.. as can you and in fact every other person in the raid.
5. inspect the inq mythical as compared to ours for standard effects and then look at some parses of the clicky effect on a fight like anashti preferably one where the Inq is solo healing a dps group (just chose this since it seems to be the favoured name dropping mob of the week) and then come back here and tell me why I should not be envious of their uber mythical! :P
6. I was bored enough to write this.