I guess it won't matter if your intent is to upgrade to a 2600 or something soon enough.
The 2200G only affords x8 PCIe lanes for your GPU - which, for modern GPUs today (beyond like TitanRTX anyway) is still sufficient.
Never know what the future may hold though.
As for the "bottlenecking" aspect, take a look:
https://www.gamersnexus.net/hwreviews/3002-amd-r3-1200-review-line-between-fine-and-exciting/page-4
When paired with a GTX1080, the 1200 (at stock) was anywhere from neck & neck, to ~10% faster.
Obviously, you're comparing a slightly faster R3 against a slightly weaker FX chip, so the gap would open a little....
But you're also not looking to pair it with a 1080, you're looking to pair it with a 390X.
The R3 is a solid option, absolutely - I'm merely pointing out that those bottleneck sites are junk, and are never going to net you the gains they would suggest via an upgrade.
If you could find a used R5 1600, or even new if the price was right, I'd suggest going that route & skipping an R3 altogether.
The 1400/1500X are ok, but struggle to find a place in the Ryzen product stack ... You really should look at either a strict quad core = R3, or 6c/12t = R5.