I see the restriction to finesse weapons as a thematic choice rather than balance one. Though to my mind it ignores the thug/brute type of STR-based rogue archetype. (Though perhaps correctly, thinking that would retrod ground already covered by other classes and the Criminal background.)
From a balance perspective, I don't see a problem. Of course, I'm also the person who played with the idea that proficiency with all martial weapons would up the die of simple weapons by 1 - just to give them parity and let us see them in play by martial characters to enable more character concepts. So I acknowledge a bias.