I think I have something of a strange answer.
If it's a very tactical game where PC death is common, I prefer high stats.
If it's a story-based game with few PC deaths and an emphasis on story, I prefer low stats.
In a situation where my character is more of a game piece than a part of a story, I want that piece to be as efficient as possible. In a game where there's more roleplay than story, I find low stats an interesting challenge and a fun way to make a character unique.
For instance, in a Forgotten Realms campaign I played in my dwarf character had a (surprise!) abysmmal Charisma. I played him as needlessly blunt and socially clueless, with his main flaw his utter inability to accept that other folk didn't act like dwarves.
Another time, I played an arrogant, aristocratic wizard with a terrible Strength score who insisted on having a manservant carry his stuff around for him. It was fun playing out my PC's abuse of his hapless servant.
If it's a very tactical game where PC death is common, I prefer high stats.
If it's a story-based game with few PC deaths and an emphasis on story, I prefer low stats.
In a situation where my character is more of a game piece than a part of a story, I want that piece to be as efficient as possible. In a game where there's more roleplay than story, I find low stats an interesting challenge and a fun way to make a character unique.
For instance, in a Forgotten Realms campaign I played in my dwarf character had a (surprise!) abysmmal Charisma. I played him as needlessly blunt and socially clueless, with his main flaw his utter inability to accept that other folk didn't act like dwarves.
Another time, I played an arrogant, aristocratic wizard with a terrible Strength score who insisted on having a manservant carry his stuff around for him. It was fun playing out my PC's abuse of his hapless servant.