3200G also has support for faster memory, a few percent improved IPC, a soldered IHS and faster iGPU clocks, and so on. The improvements aren't huge by any means, but it's at least on par with the 2400G.
I would have to aquire a 3200G to test it in the A300 to know for sure BUT the difference in performance between the 3400G and 2400G CPU is maybe a couple percentage points. Nothing worth upgrading for or spending exstra money on. Maintainable boost clock speed was about the same Plus the cooler that comes with the 3400G doesn't fit so one would need to purchase a Noctua which adds another $40 to the purchase price.
The faster Vega 11 in the 3400G is all you get and it's not much faster.
I find it hard to believe that, in the A300, giving up SMT and would be worth buying a 3200G over a 2400G. Now the 2400G can easily be found for $120 and the 3200G can be found for $100; which is basically paying $20 for SMT.
The integrated graphics is a bonus in my opinion so your use case will determine what's a better bargain. I just think it's awesome discreet graphics cards aren't mandatory anymore for decent gaming.
As far as memory goes, the 2400G and 3400G both had ZERO issues running ram speeds of DDR4-3333. The 3400G would, mostly, run DDR4-3400 but windows would still randomly glitch even after loosening the timings to the point it was better to run DDR4-3333 settings.
Regardless, a ZEN 2 APU should be available next year and I'm hoping the 4400G is 15-18% faster with a Navi iGPU at the $150 price point. That would be a worth while upgrade.
Untill the Zen 2 APU arrives the best value for the A300, in my opinion, is the 2400G. If you just want to save $20 waiting for the Zen 2 APU to release at least the 3200G comes with a wraith stealth. If you can hold out MAYBE an upgraded A300 will get released or some competition will immerge.