Who would be a better target to cast Heightened Heroism (6th level) on, a Giant Instinct Barbarian or a Double Slice Fighter? Barbarian wields a Maul, fighter wields dual hammers.
What are they fighting? (power level, not detailled monster)
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If your Fighter can get at least two Attacks off per round this is a no-brainer, they would be the best target, for offensive purposes at least.
That said if they are moving around a lot and not making multiple attacks per round then the Barbarian might benefit more since they are going to be less accurate than your Fighter, not to mention the fact that the Barb may have weaker saves which could also shift the calculus if you're hoping to have this benefit defense and maybe even Athletics checks if that's something your Barb likes to do.
What are they fighting? (power level, not detailled monster)
Say level -1 ?
And level +2 for another example
It depends, I usually would use on the person that is closer and that don't put the character in danger.
Optimization wise? If the Heroism makes the Barbarian hits on a 9 then I would use on them, otherwise is whatever is closer.
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Generally, Heroism will be a multiplier on their base damage and Barbarians have more base damage (while the Fighter begins with a higher multiplier already w/ their weapon group).
So the Barbarian.
Except...there are other factors.
If the Fighter's attacking more regularly (perhaps due to AoOs, Two-Weapon Flurry, or better mobility) that's important, as is having two non-MAP attacks for a possible crit => prone enemy (which helps both PCs) rather than the Barbarian's one chance. That could of course go the other way if the Barb gets Whirlwind Attack w/ that large radius or also has AoOs which I'd think most Giant Barbs would have and with Reach he'd be able to use more frequently than the Fighter.
And there are the saves. I think a Barbarian's vulnerability (Reflex) is less detrimental than a Fighter's (Will other than fear). You don't necessarily want to beef up an ally w/ poor Will saves since they may turn against you (or simply lose actions more often), yet on the other hand, if Heroism's bonuses cut into his chances to crit fail a Will save, that's pretty important.
And then there are the players' track records too. Does the Barb have a habit of going down quickly due to low AC/Ref and standing out as an easy target to focus on? Is the Fighter frequently out of position? Etc.
And the caster may simply like one more than the other.
Or the enemy's abilities might make it hard on one or the other to be effective.
And so forth.
As usual, you're asking a "white room" question when PF2 has too many factors to approach issues that way.
Who would be a better target to cast Heightened Heroism (6th level) on, a Giant Instinct Barbarian or a Double Slice Fighter? Barbarian wields a Maul, fighter wields dual hammers.
Clearly, the best target is the caster themselves.