I:R - Cultural Decision, Protected Inheritance bonus doesn't apply

[spartasmaximus]

Description of problem
Cultural Decision, Protected Inheritance bonus doesn't apply

What game version are you running?
latest

What platform are you playing on?
Steam

Please select any/all DLC you have enabled.
(DID NOT ANSWER QUESTION)

Do you have mods enabled?
No

Please explain your issue is in as much detail as possible.
Cultural Decision:
ProtecT Inheritance bonuses:
Cultural Integration Speed +10% (Does not apply)
Cultural Happiness +6% (applies)

I enacted both intermarriage and inheritance decisions. The former doesn't boost the speed, the bonus isn't listed or in effect.

Steps to reproduce the issue.
Choose ProtecT Inheritance bonuses: on any culture. Bonus will not apply.

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[Herennius]

I see why it can be confused, but integration (and a speed bonus to it) is something else than assimilation in IR (you could even say it is almost the opposite approach).
Integration is a feature on per-culture-base, why assimilation a process affecting singular pops. The bonus you are looking for will only kick in and help you, if you start to raise a cultures civil rights to Citizen or Nobles, which starts a process that will integrate the targetted culture in the end. This process takes time and during its duration events involving difficult decisions can shows up. The speed bonus shortens the duration, so those nasty events have less time to fire. The concept is contrary to assimilation, because pops of a culture you have integrated will no long assimilate.