its a lot easier to actually make contact with that huge area that is susceptible to bleed
going off how the game works, If i hit you somewhere it will do a set amount of damage and a set amount of bleed that is changed depending on a few factors (stamina, diet, hunger, thirst etc)
small creatures should take less bleed damage from a regular because theres less of them to hit
5 liters of blood in a human, 245 liters in an elephant 49x more
a person dies from losing 2 1/2 to 4 liters of blood, so 50% to 80% of our total "blood pool"
an elephant may die from losing 73.5 liters of blood, thats only 30% of their total "blood pool"
humans are quite resilient so lets use an example you used, cats and tigers
average cat is around 9 pounds and has around 540 mL of blood
tigers can get up to 600 pounds so we'll put it down at about 450/500 for an average male, having around 60 mL per kg
500 pounds is ~226kg, giving us 13,560 mL of blood (13.5 liters)
A cat can lose 30-40% of it's blood before dying while a tiger can lose up to 50% before going into shock
So I think what we can take away from this is:
Micro tier animals may die quicker since they have less blood
medium sized animals can survive higher amounts of blood loss since they both have lots of it and a good size where they can recover from losing nearly 50% of their bloodpool
Large creatures aren't very resistant to bleeding because they need lots of blood to supply their body with oxygen, after losing 30% of their blood their systems fail