Bug? Brawler getting unarmed bonus damage with equiped secondary weapon

The Brawler class feature “I Am The Weapon” is written such that you only get the alternative unarmed strikes (d8+d6) when you “don’t have any equipped weapons.” However, I’ve found that if you equip a secondary weapon (or, at the very least, a Small Dagger), the character sheet still gives you the I Am The Weapon damage rather than usual d4 damage. In fact, it’ll add the small dagger’s +2 damage bonus to your unarmed attack.

I don’t think this behavior is intended, unless I’m misinterpreting the rule.

Here’s a character with an example of what I’m talking about.