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The topic of roleplayers vs rollplayers has been discussed to no end. personaly I feel like the ones that start the nagging (either one of them) is in the wrong.
I have personally experienced more drama and campaign ending from "roleplayers" saying that's how my character would act (then doing x thing that destroys fun for z amount of players) than optimizers.
Regardless this is a "math" thread, those that feel the need to promote their superiority as "true" roleplayers and lay bare the error of our way of thinking need not apply.
Back to the main thread, I think it would be more useful to have the highest dps class as ceiling of shorts for this analysis, but in general compare apples to apples.
what I mean is there are very few classes that can benefit from animal companion so it would be best to have a companionless ranger vs a ranger with an animal companion etc. and have their total damage as 1 unit compared to the highest dps class.
PS: From the analysis between the bear and the wolf, I would almost always choose the wolf due to the AC despite being less damaging and not being able to carry (as a mount) a medium creature. Things I am still considering, A champion with a reaction can grant DR to the bear so maybe that can help the lack of good AC. The support action of the bear and the extra attack might make a significant difference in damage to make the bear more desirable.