Brother the low profile will not give you grip it is the rubber that matters.
Avs Db is not for grip it is everyday touring tyre that is why it is cheaper in a lower profile.
Such a small tyre like Bridgestone Potenza Adrenalin RE002 in 195/60 R15 will blow this tyre out in braking or grip and would cut 2-3 feet compare to Yokos.
Yoko Advan and Toyo Proixes T1R are also much better.