I consider the $15 Phenom II X2 570 BE the base, ultra-budget gaming CPU, due to its faster single-thread speed than FX-4100. Any K10 processor below 4.3GHz max speed, regardless of number of cores, isn't worth owning now for 2018. At least 1500 single-thread score is recommended now. Ryzen 3 1200 is rated at 1756, so it's only 255 points faster than my Phenom 570 BE at 4.3GHz.
A dual core is not recommended for gaming anymore. The G3258 is not recommended for gaming, definitely a K10 dual isn't either. There's threads on NBA 2K17 and others that games literally do not run, even on low settings. They pause for over a second at a time, 0FPS. Games need threads. A 3Ghz Q6600 is far better than a 4Ghz E8400, in modern games. Even old games such as Battlefield Bad Company 2 completely saturate a quad core if your GPU can keep up. I'd imagine that if your budget for a CPU is only $15 they'd probably be pairing it with a GTS250 or equivalent, so I guess they'd not be running anything modern anyway. I'd strongly suggest dropping $7 more on a Phenom 2 X4 for $22, a Phenom 2 X4 BE for $40, or a Phenom X6 at $45. There's a bunch of quad unlockable phenom 2 duals for $25, which would be my first choice if I had a board that unlocked. Used prices for the 8320 is $85, $99 for the 8350, so the choice is clear on that.
For kicks I just changed my 8350 to 3.2Ghz/1.125V and everything was nearly (if not identical) the same as 4.2Ghz that I ran. Rocket League, CS:GO, NBA 2K17, DiRT Rally, all good with an R9 270. I knocked it down to one module/two thread at 4.5Ghz and nothing was playable at typical settings. Even CS:GO was a stutterfest on medium. I saw what people were talking about in NBA 2K17, which runs great on quads+, but was absolutely unplayable at minimum res and lowest settings possible.