Lets just look at the numbers again for a wizard. And, again, we will look at a real build to ground the analysis in a reasonable 2022 build.
tdcharactercreator.com/#/character/edit/6ea68f32-d7d1-4f0c-b31e-a7e7373cc87d
Executive Summary
In nearly all cases, Havoc is better than a +5 ring of the savant. Savant only comes into its own in a 12 combat round or longer dungeon gaining a 5% damage advantage for a Mostly rare build assuming the Wizard passes
100% of skill checks.
A +4 ring of the Savant would not be worth equipping in nearly all non grind dungeons - It basically breaks even with Havoc if the wizard hits 100% of their skill checks in a 12 combat round dungeon.
Damage numbers
Our build starts at +14 damage.
If we drop Ring of Jealous Fervor for Ring of the Savant, we get -1 to all spells, but gain +5 on a few of them if we pass the skill check. Damage per spell at +13 damage:
Savant
Lightning storm: 33
Scorching Ray / Ray Of Shock: 31
*Magic missile: 21 or 29
*Burning hands: 19 or 27
Acid Ray: 25
*Darts: 16 or 24
drop Ring of Jealous Fervor for Ring of Havoc. The result is simple, we net +1 damage to all spells. Damage per spell is at +15
Havoc
Lightning storm: 35
Scorching Ray / Ray Of Shock: 33
*Magic missile: 26
*Burning hands: 24
Acid Ray: 27
*Darts: 21
Short Dungeon 7 combat dungeon.
Think E1, where we have a exposition before the combats that eat into actual combat time.
Savant:
Casts these spells:
Lightning storm: 33
Scorching Ray: 31
Ray Of Shock: 31
3x Magic missile: 21 or 29
Burning Hands: 19 or 27
Damage, depending on passing no skill checks, an average run at passing half skill checks, and ALL skill checks:
Min: 177. Average: 199 Max 209
Havoc:
Casts:
Lightning storm: 35
Scorching Ray: 33
Ray Of Shock: 33
3x Magic missile: 23 or 26
Acid Ray: 27
Damage:
Min: 197. Average: 201.5. Max: 206
Note how casting Acid Ray makes a noticeable impact to overall damage. Also note that a 100% skill check wizard is only 1.5% more damage than using havoc. Finally,
note that a +4 to the skill check would drop the Savant average numbers by 2, and max numbers by 4 - meaning that a Ring of Havoc would be better even if the wizard hit 100% of skill checks.
[Medium Dungeon with 9 combat rounds.
I'll let someone with more time compare this to an existing module.
Savant:
Casts these spells:
Lightning storm: 33
Scorching Ray: 31
Ray Of Shock: 31
3x Magic missile: 21 or 29
Burning Hands: 19 or 27
Acid Ray: 25
Frost Dart: 16 or 24
Damage, depending on passing no skill checks, an average run at passing half skill checks, and ALL skill checks:
Min: 218. Average: 238 Max 258
Havoc:
Casts:
Lightning storm: 35
Scorching Ray: 33
Ray Of Shock: 33
3x Magic missile: 23 or 26
Acid Ray: 27
Burning hands: 21-24
Frost Dart 18-21
Damage:
Min: 236. Average: 243.5. Max: 251
The Ring of the Savant is still noticeably behind in all cases but where the wizard gets 100% of skill checks. The lead in this 100% has increased to 2.79% damage advantage. Finally,
note that a +4 to the skill check would drop the Savant average numbers by 2.5, and max numbers by 5 - meaning that a Ring of Havoc is virtually at tie even if the wizard hit 100% of skill checks.
[Long Dungeon with 12 combat rounds.
I'll let someone with more time compare this to an existing module.
Savant:
Casts these spells:
Lightning storm: 33
Scorching Ray: 31
Ray Of Shock: 31
3x Magic missile: 21 or 29
Burning Hands: 19 or 27
Acid Ray: 25
2x Frost Dart: 16 or 24
2x Fire Dart: 16 or 24
Damage, depending on passing no skill checks, an average run at passing half skill checks, and ALL skill checks:
Min: 266. Average: 298 Max 330
Havoc:
Casts:
Lightning storm: 35
Scorching Ray: 33
Ray Of Shock: 33
3x Magic missile: 23 or 26
Acid Ray: 27
Burning hands: 21-24
2x Frost Dart 18-21
2x Fire Dart 18-21
Damage:
Min: 290. Average: 302. Max: 314
Even in a 12 run dungeon The Ring of the Savant is still noticeably behind in min and average, but can now miss 3 checks and still come out ahead of Havoc. The lead in this 100% has increased to 5.01% damage advantage. Finally,
note that a +4 to the skill check would drop the Savant average numbers by 4, and max numbers by 8 - meaning that the damage advantage of Savant on 100% would be reduced to 2.5% and a single missed skill check would merely put Savant as parallel to a +2 ring.