Does it matter what beasts I offer on the blood altar

Some recipes require a couple different rare monsters, does it make a difference if I offer a monster that is under a spirits grip: for example the monster on the below picture, will this give me a better item than a monster of the same level without the warriors grip?

Does crafting multiple monsters with a specific mod give a specific result? For example: all offered monsters have "Extra life", does this result in a specific mod in the crafted item or is it completely random?

Solution 1:

Does it make a difference if I offer a monster that is under a spirits grip?

The captured beast will retain the "…'s Grip" modifier while stored in your menagerie, making it significantly more difficult to kill. This is a nerf.

There is no known benefit to using monsters with modifiers that are not explicitly required for the recipe.

Does crafting multiple monsters with a specific mod give a specific result?

No such effect is currently known.