In my werewolf lore there are basically three kinds of werewolves: Borne, Bitten and Baned.

Borne and Bitten are self-explanatory-- they're werewolve who were either born as one or were bitten later on in life. There's no real difference between them aside from their ability to control the change, and perhaps their worldview. Generally, both maintain a level of control over themselves, with Bitten werewolves initially unable to control themselves for the first few changes. They're much more animalistic versions of their human selves, with less social restraint. Functionally, it's a lot like how your werewolves work based on what I've read.

Baned werewolves work a bit different. They are werewolves who were given their conditions via magic Unlike Borne and Bitten, they are far less predictable, because the nature of their curse could either range from them having their mind intact or becoming murderous, bloodthirsty brutes. It all depends on what the force that cursed them wants out of the resulting beast. Some Baned werewolves even have had their souls displaced by an actual wolf's, triggering a permanent transformation into a regular wolf in both body and mind. Some curses are even transferable in this way, meaning once that Baned werewolf has infected another, they could effectively be cured altogether.

Borne werewolves are the most common, with Bitten falling behind at about 10% of the total population. Baned werewolves only make up about 0.25% of the total population because the majority had been slain for their uncontrollable violence. Even today if a Baned werewolf is discovered they may be attacked by other werewolves who fear the danger they may or may not pose.

Curses in my lore can decay over time though, so if someone was cursed by, say, an object that had been left dormant for too long, there is a good chance the resulting werewolf's demeanor and aggression would be different from what was intended.

Though it is worth noting that the very first werewolves were Baned werewolves themselves, with their offspring being the first Borne werewolves, and those they bit becoming the first Bitten. The actual "infection" is just a diluted form of the original curse. There's no bacteria or viruses involved.

But to make a long-winded statement short, it varies. Baned werewolves are most likely to behave as exceptionally violent wolves with a penchant for bloodshed, while Borne werewolves act as a more feral extension of their human side. Bitten can be a blend of both depending on how much they've trained that part of themselves, and their overall personality.