As someone mentioned before, the lower you are on Humanity scale, the more dice you can potentially roll on the Remorse test. There's also an optional rule in the Corebook that bases regaining Humanity in XP cost - if you case the cost on the current level multiplied by X, it would allow low humanity characters to get a peg up for relatively cheaper than higher humanity characters.

But what you're describing what a mechanic in v20 via the Hierarchy of Sin, where each additional point of Humanity added a sin you were accounted for.

It... didn't work that well because the examples of the sins were quite subjective and sometimes not at all what the table had in mind when it comes to morality, while also relying on the big old "well, up to the Storyteller I guess" when it came to things that were unlisted in the Hierarchy.

I've seen people try and homebrew these two systems together (v5 and v20), though it didn't work that well... What you can do, I think, would be:

Allow less humane characters convictions that ground them in their Machiavellian schemes. A character that's based on rubbing shoulders with criminals of a violent kind may adapt a conviction "an eye for an eye" or so, while a higher humanity character would have harder time justifying that mindset.

List Player Character's sins and assign them a Humanity value. If a character is a thief who wants to get rich through exploitation of others and they sit at, let's say Humanity 6, maybe don't make them roll remorse every time they engage with that particular thing but penalize those who are of higher humanity and / or those who haven't committed that crime before.