It’s interesting topic. Most players ‘I heard’, prefer passive Armor Caps due to the explanations done above. I have no any practical experience with Capital tanking sets, but I spent hours by theorycrafting it, back in the days. Moreover, I think there isn’t a capsuleer in EVE available, which has practical experience with all types of Capital ships, including faction ones.
Talking about Dreads and Carriers, it’s no matter what type of tanking they have. In case if like 100 of other capitals will red boxing you - you are doomed whatever tank your ship has. Only a Capital Emergency Hull Energizer will let you to stay on the grid for 22 sec more. Talking about Super Carriers, it depends by situation and support team. Anyway, from Supers we need only DPS. Titans alone will not survive no matter what type of tank do we have - armor or shield (zkillboard can prove it). They requires a support team like the aircraft carriers requires it in real life.
I want to talk about Titans, as the best option to work around tank abilities. My Capital weapons skills are level ‘zero’, but I have decent armor, shield and rig skills for the next presentations. Avatar is a perfect option for ‘passive’ Armor tanking (with good skills near 25M EHP), while active Hardeners are even much more worse option compared to a Shield tanking Titan, due to its dps concept and cap drain. A fit with faction modules is presented below. With implants it can have more EHP. Well, I can’t imagine a Titan pilot without full set of respective implants on a Titan without faction modules installed.
A Shield tanking Titan can be built in many variants and its ‘a plus’. Below is presented a crazy passive tanking utility Titan in theory. A Titan which should be summoned the last on the field, depending by situation
Titan Command Bursts - the best bursts. 10M EHP with 6.6k hp/s!!! Racial Phenomena Generators aren’t used at all by serious reasons, but they are very strong modules in special COMBO fleets if to take into consideration that almost all players are using passive Armor tanked Caps. This Phenomena works as a nightmare versus pure Ammar Caps. Such types of Titans must be summoned the last on the grid.
Another active Shiled tanked Titan
Normal mode with 30M EHP under 90% resistances with full set of low dps modules! Sure, this ship should not be summoned firstly and close to the enemy fleet. This Titan requires a special secret group of 3-5 Capacitor AWOXes to become very effective. The advantage of shield Titans is in their proactive reaction and adaptation to the current situation. As soon you are redboxed by entire fleet - you can overheat both Adaptive shield hardeners or only one:
So, we will get 40M EHP, but with max skills, bursts and full set of implants - like 50M EHP!!! Afterwards, the burned shield module can be repaired.
As a conclusion, I can say that both tanking types are proportionally effective. It depends by situation, how you are using them and by supporting fleet. Overall, a passive Armor tanked Avatars are most popular for ‘any case situation’, while active Shield tanked Titans like Ragnarok requires special support and management of a pilot.