I play a bard with 8 Str, 16 Int, and 0 regrets.
I'm not sure why you would have any. For a College of Lore bard, Str is more or less a "dump" stat and therefore comparable to Intelligence. That doesn't mean there aren't several issues:
1. There are way, way more builds for which Str is not a dump stat, including many builds that it's supplemental for rather than primary.
2. Even as tertiary stat not used at all in your build, Str is at least as good as Int, if not still slightly better. This is particularly true if you already have a high Int character in the party and/or if you're using alternate encumbrance rules (which I do).
3. Str's contribution is hard, rather than soft, meaning, it isn't subject to metagaming around and is and is not reliant on DM's operating in a certain way.
End of the day, it's a commonly held view that Intelligence is poorly balanced in 5e, as it is far more prevalent as a dump stat than any other attribute is. There's a very obvious reason for this, and it's one I am to fix in my games. I'm also considering modifying the skill list between Int and Wis to increase the values of some of the individual skills (i.e. rolling several knowledges into one, moving Medicine from Wisdom, replacing it with a couple of new skills for Wisdom, etc.).
I'm thinking that I'll use my initial proposal in conjunction with granting a bonus language/skill/tool proficiency if your Int is 14 or higher and one additional one at 18th or higher (or maybe just one additional one for 15+). I'll probably do a minor compensation for wizards (i.e. giving them only one base proficiency, which sort of makes sense anyway given how much of a mental burden it is to master their form of arcane magic), although I don't think much is needed since you could easily argue that in raw it's unfair how gimpy their main stat is.
My idea would be for all of the attributes to compete well with Constitution, so you could have a lot of interesting variety in character building. There's a good chance I'll find additional ways to tweak Wis and Cha to meet this goal.