New Recruited Lord Loyalty:
If I understand the tables I've worked with, a Lord with a recruited loyalty range of 1-6, should have:

- 60% chance to start at 1
- 35% chance to start at 2
- 5% chance to start at 3
- 0% chance to start at 4, 5 or 6

A lord with loyalty range of 2-7 follow the same pattern, you get the idea.

Loyalty increasing events:
This is the events effects that have a chance to increase the Loyalty level of Lords.
(These are based on my interpretation of what they do, should be accurate)

- Receiving Ancillary: 10%
- Receiving Units: 10%
- Being Weaker than the Leader: 10%

- Starting a new turn: 15%

- Appropriate Treaties: 20%
- Completing a Mission: 20%

- Close Victory: 30%
- Decisive Victory in Combat: 40%
- Heroic Victory: 65%

Loyalty increase amount:
- Any event that would reduce loyalty by 1, has been changed to do nothing.
- Any event that would increase loyalty by 1 or more, has been changed to just increase by 1.

To Do:
Consider revamping "Share the Loot" post battle loyalty increase reward.