Does Maim Suffix On Yuriel's Fostering Work Like Maim Support

So, I was looking on poe wiki and it says that "Maim" is a movement speed debuff that applies via projectiles from attack skills. Then it says that "Maim Support" buffs your physical damage and enemies hit by your attacks take X% more physical damage.

Maim is just the movement speed debuff. The support gem has other effects in addition to maiming enemies.

Maim, the debuff, is just exactly what the wiki said - a movement speed debuff. It doesn't do anything else.

Maim Support inflicts Maim. It also has the effect of inflicting a damage-taken debuff on enemies which are Maimed by the skill Maim Support is supporting. The Maim effect does not affect damage taken/dealt in any way, that is purely a function of the support gem.

Now. Combining Yriel's Fostering with a Maim Support gem means that the Maim Support's 30% chance to Maim and the Fostering's 20% chance to Maim add up to a 50% chance to Maim with the supported skill. The skill supported by Maim Support doesn't care where the source of its Maim chance comes from - as long as this skill is the one Maiming foes, then the damage debuff is also applied. This also applies to Maims from other effects, like the Assassin's Toxic Delivery.

A skill supported by Maim Support can increase physical damage taken when it Maims, no matter where that Maim came from on your gear/build. If a skill Maims, but is not linked to Maim Support, it cannot inflict Maim Support's debuff no matter what else you're doing.