So I noticed that many people happen to roll UVs on punch and just get something they really hate, so I am suggesting that we have a way to increase our chances of getting good UVs.
1) Increasing the chance of higher UVs.
So I read on the wiki that the chances of UVs are 66.67%, 27.41%, 4.44%, and 1.48% for low, med, high and VH respectively, so what if we had a way to increase the chances of the better UVs by bribing punch, this bribes can be seen as 'bonuses', and each time you roll a UV you can add up to 4 bonuses.
1st level bonus, 25K crown : Decrease the chance of low UV by 6%, and increase the chances of med UV by 3.5%, high UV by 2% and VH UV by 0.5%
2nd level bonus, 80K crown: Decrease the chance of low UV by 9%, and increase the chances of med UV by 5%, high UV by 3% and VH UV by 1%
3rd level bonus, 250K crown: Decrease the chance of low UV by 5%, and med UV by 3%, and increase the chances of high UV by 6% and VH UV by 2%
4th level bonus, 800K crown: Decrease the chance of low UV by 8%, and med UV by 5%, and increase the chances of high UV by 10% and VH UV by 3%
Or at least something along those lines. Each bonus works and costs the same for the different UV tickets, so it would be better to get a 3UV ticket or something. Since you can add up to 4 bonuses each time, you can add 4 4th level bonuses for 3200K crown, and increase the chances of VH UV by 12%. However, I am not sure about the chances and costs of this system.
2nd) Getting your type of UV.
So just slightly different from the bonuses as stated before, you can now bribe punch to increase the chances of your type of UV.
For example:
Armors, helmets and shields: Increase chance of getting status resistances by 10% OR Increase chance of getting a damage type resistance by 10%, both of which would cost 200K crown for each time you add the bonus.
Swords, guns and bombs: Increase chance of getting a damage bonus VS by 10% or Increase chance of getting a ASI/CTR by 10%, both of which would also cost 200K crown
Again, something along those lines. Same as before, you can only have 4 bonuses at once, so if you want to have a ASI VH on your sword, you can choose to have 2 4th level bonuses and 2 increase chances of ASI/CTR bonuses, which would cost 2000K crown, and increase chances of getting ASI/CTR by 20%, and chances of VH by 6%.
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My idea is basically something like that, I am not sure if it costs too much or is just plain unfair somehow, post your thoughts :P
The issue is Punch isn't dumb enough to "try" to get you better uvs. He and his mate both understand that they can make more by keeping the uv rates low then getting bribes for better obes.