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Its partly balance, and partly doesn't matter enough to do.
Keep in mind there is a hard cap of stats in this edition-
20 at 10th level
22 somewhere in the teens with an Apex item, and 24 at 20th (with said Apex item).
So it would be +2 damage from levels 1-9, then +3 depending on how you're rounding and maybe +4 (if rounding up) at 20th.
In 1e it was quite possible get up around 30-odd strength by level 5 (4th level alchemist- strength mutagen and bull strength and a level of barbarian)
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I mean, the damage die for the deadliest 1h weapon is 1d8, whereas the damage die for the deadliest 2h weapon is d12. So from from levels 1-3 (before you have a striking weapon) the 2h weapon will outdamage the 1h weapon by 2, from levels 4-11 (before you have greater striking weapon, the 2h weapon will outdamage the 1h weapon by 4, and from 12-19 the 2h weapon wins by 6, and 8 at 20th.
Also, since 2h weapons tend to have more or better traits. I think that's more than enough incentive to use a 2h weapon.