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What I can't tell you is if in BG3 there will be attribute caps or not in the released game either. So if there ends up being one, then putting all your points in your primary attribute until you hit cap, then spreading the points around may also be a possibility.
No.
It is 1d20 + modifier + proficiency.
And for dmg it is weapons roll + modifier
So yes uneven stats are dead stats.
Multiclassing (not in BG3, hopefully coming) requires a 13 in the relevant class primary attribute(s) to multiclass in 5E. So you'd need 13 STR and 13 CHR for a Paladin to be able to multiclass into a Warlock, but for a Paladin to multiclass into a Cleric, you'd need 13 STR, 13 CHA and 13 WIS.
The main point of odd scores is because 5E uses rolled ability scores, Point Buy (current system in BG3) and Standard Array are both optional variant rules. When you do rolled ability scores, you are likely to get a few odd ones which you can then make even later on.
Lastly there is a few feats which increase an ability score by 1 on top of their own effect. Such as Resilient where you choose an ability score and get +1 in the ability score as well as proficiency in the saving throws of that ability, this feat is also not in BG3 yet as far as I am aware.
The only benefit to having an uneven ability score is that it only takes one more ability score increase to increase its modifier value rather than two. So if you wanted to eventually take a feat that gave you a special feature and increased your dex by 1, having an uneven dex score at the start would mean you could get instant use out of that dex improvement.
So uneven stat is mostly useful later on in the game. Right now in EA it technically doesn't make much of a difference, since you won't be able to get past lvl 4, your first opportunity at ASI.
Would require me to have run another calculation if having that uneven stat or not actually really saves you that 1 point. Theoretically yes (17 @1st lvl, 19 @4th lvl 20 +1 free AS @ 2nd ASI vs 16 @1st 18 @ lvl 4, 20 +0 free AS @2nd ASI). There is a limit on how much you can put on one stat at lvl 1 though. The question is: is it worth it? I mean, does that +1 free AS actually change any other modifiers? Alternatively pick a feat with +1 on your main stat and some other useful effect on my toon. That might give you a better edge at some fights.
So at worst : with 16 starting AS you are kind of forced to take 2x ASI, with 17 1x ASI +1 x feat that improves that stat and is also beneficial for my character.
If I got it correctly, odd ability scores can be useful as long as you know what's coming for your character in terms of feats and ability score increase points.
I think I remember in the 3.5e sometimes a certain ability score was needed to unlock a feat. If I'm not mistaking, one such example was that you'd need 13 INT to turn your Fighter into a Weapon Master.
Are there still Feats like that in 5e that require a minimum score in a certain ability?
There aren't any feats like that in 5e. There are feats that are, however, locked behind race choice (Dragon Hide, Dwarven Fortitude, etc.) and feats that still cater to/persuade people into certain play styles (Polearm Master, Charger, etc.).
That said, there are items that require a certain stat to be of x value in order to use them. For example, you need to have a Strength stat of 15 in order to wear heavy armor like Plate or Splint armor.
I think it's doubly useless in 5e since as far as I know there aren't any +X attribute items.
The only advantage I see is that they can be raised to the next odd number by certain feats that give a minor benefit and +1 to a related stat. Otherwise your 16 is as good as a 17.