Yes, the model number absolutely matters.
If you get a G930P, your phone will be stuck on Sprint US, which is a CDMA based service provider.
G930A is locked to AT&T
G930T is locked to T-Mobile
G930V is Verizon
G930FD is International Unlocked with Dual SIM slot -- you will need new housing if you get this one.
Your G930F represents International Unlocked with single slot SIM.