You WILL find getting off the horse unarmed, is both foolish and dangerous. You may get off the horse willingly, or be thrown to the ground in the middle of a 6-Pack of Wolves. Unarmed. That usually ends badly. The way you deal with that is to: Equip Back Weapon. Equip Shoulder Weapon. Dual Wield your Sidearms.
5 years after the release of GTA V, cycling through every weapon you own to get to the one you want is still in place. So nah, it won't change. The two used Cattleman you accidentally grabbed are yours forever, en-fucking-joy! Every game they make gets a "perfect score" with a baffling number of quality of life flaws. . 152 389 386 62 27 52 127 118 229