Passive perk buffs

Introduction:

When I got my first level 6 perk in KF1 I felt like I didn't really need to grind out the other perks. I wanted to grind them out, but there was no real reward to doing so since I was going to mainly play Commando anyway.



My suggestion:

I would like to see some sort of passive buffs for having leveled other perks than what I pick as an active one.



As an example:

Let's say I play as a sharpshooter [active perk]. I gain the usual sharpshooter traits.

Let's also say that I have a few levels in field medic and demolition that would grant me a few percent better healing and a few percent higher grenade damage [passive perk buffs].



Disclaimer: The buffs would not have to be big at all, they could be more of a symbolic thing.



My reasoning:
Having these sort of buffs would give me an incentive to level up other perks since I feel that I want to stick to my main one. It would make me explore the other perks and it would make me feel less chained to the perk that I started leveling up at first (since all my other perks were way outleveled by my commando perk). I talked about this with some of my friends and they thought it sounded like a neat idea.



Conclusion:
Do you think this would be a good/bad idea? What could be added to make this suggestion better?