Does 'Aspect of the Lynx' (ie '16% increased physical damage with attacks') affect bows?

It's strange how it says 'with attacks' instead of just '16% increased physical damage.'

Thank you.

Yes it does affect bow attacks.
Increased Phys DMG != Increased phys dmg with attacks.
If you get a spell like Bladefall or Blade Vortex - the 1st passive will affect them, but the 2nd will not. As they are spells which deal phys dmg.
Hope that clears the case :)