Bleeding Critical from different sources

[Kileanna]

Two of my players are interested on investing on the Bleeding Critical feat.
I know that the bleeding from the feat stacks with itself.
Would the bleeding still stack the same way if each stack of bleeding came from a different PC?
Should I treat each bleeding as a different source of bleeding regarding to heal attempts and such or a single Heat attempt would stop both?

[Framane]

Bleed:

A creature that is taking bleed damage takes the listed amount of damage at the beginning of its turn. Bleeding can be stopped by a DC 15 Heal check or through the application of any spell that cures hit point damage (even if the bleed is ability damage). Some bleed effects cause ability damage or even ability drain. Bleed effects do not stack with each other unless they deal different kinds of damage. When two or more bleed effects deal the same kind of damage, take the worse effect. In this case, ability drain is worse than ability damage.

Bleeding Critical:

Benefit: Whenever you score a critical hit with a slashing or piercing weapon, your opponent takes 2d6 points of bleed damage each round on his turn, in addition to the damage dealt by the critical hit. Bleed damage can be stopped by a DC 15 Heal skill check or through any magical healing. The effects of this feat stack.

For this, I would say that since the feat specifically states that it stacks, and that specific rule beats general ruling, then it would stack no matter who did the attack. Also, rule of cool, if both player spend a feat and attack the same guy, and both crit, it would be lame to be denied their feat effect. Plus, if that enemy is being flanked by 2 rogue with bab +11, I really don't think the bleed damage is going to be his main concern. Depending on if they are Two-Weapon Fighting or not, that is from 6 to 12 attacks next turn, all with sneak.

For the healing part, neither the bleeding critical nor the Bleed general rule seems to mention that it does not stop all bleeding at once and that would be how I rule it in my games.

[Rysky]

First Aid wrote:

You usually use first aid to save a dying character. If a character has negative hit points and is losing hit points (at the rate of 1 per round, 1 per hour, or 1 per day), you can make him stable. A stable character regains no hit points but stops losing them. First aid also stops a character from losing hit points due to effects that cause bleed (see Conditions for rules on bleed damage).

Due to the plural I'm inclined to say that you would need only one Heal check to cure to of all the bleed effects, though I can see it the other way too.

[Kileanna]

Before posting my inclination was to stack the effects and allow them to be healed with an only check, so I'm inclined to think it works that way too.