ASI tied to background is imo the worst scenario, if it weren't for custom backgrounds (so back to floating).
A background does not necessarily have any relation to a specific attribute.
A farmer can be strong because he works a lot. Or, as it was often the case, he was weak because of constant malnourishment.
And just look what kind of nobles there were out there in history. You have everything from frontline soldier to lazy hedonis to uncharismatic tyrant. What kind of ASI should the noble background give?
A background does not necessarily have any relation to a specific attribute.
A farmer can be strong because he works a lot. Or, as it was often the case, he was weak because of constant malnourishment.
And just look what kind of nobles there were out there in history. You have everything from frontline soldier to lazy hedonis to uncharismatic tyrant. What kind of ASI should the noble background give?