A gamer does not need to switch from the mouse to the keyboard repeatedly. Plus, a gamer cares about precision, which obviously a trackpad lacks.
"Faster" standalone means nothing. Can you move the pointer faster with a mouse? Of course. But I don't see most people flicking on their workstation.
In the context of this thread, "faster" refers to completing your tasks faster. And for that a trackpad beats a mouse if your job requires you to type a lot.
Chrome's handling is barely more secure. A compromised device will have a much easier time reading Chrome's encrypted store than scanning your RAM to find passwords.
Remember that if you don't need to input a password to open the store, then anything with access to your device can also read it.
Wether it's encrypted in your RAM or not barely makes any difference in how difficult the task is.
The only solution is: Browsers should require a password. Or even better: Use a dedicated, properly secured password manager.