Focus requiring proficiency and focus granting proficiency are two very different things. There's a number of ways to get feats you don't qualify for, and there's nothing weird about a feature saying 'if you get spiked chain proficiency you get better at using it, until then no dice'.
If a 10 dex ranger gets Two-Weapon Fighting for free while wearing light armor, that doesn't miraculously make his dexterity rocket up to 15, now does it?