Pretty much, yeah. Usually G-Sync price premium ("nVidia-tax") is around £150-£250, but on the higher end, the manufacturers will probably add a little extra.
As for the origin of FreeSync name, it could also be from free-to-use. In essence, there are apparently no royalties for FreeSync, and it doesn't require a separate chip, like G-Sync requires, so that's another factor for why it's cheaper. nVidia is ahead of AMD in the GPU market, and that's pretty much the only viable reason why G-Sync is still around. The price premium has no practical correlation to quality or features. On the other hand, maybe AMD would have liked to set their own premium for FreeSync, as well, but opted not to, so they could entice more people towards their camp.
Anyway, it's quite hard to find otherwise identical monitors, only having the FreeSync vs. G-Sync difference, so direct comparison is challenging. But here are few pairs, good luck finding any other differences between them (other people can list more):
Acer XZ271 vs.
Acer Z271 (£340 vs. £570)
Acer XZ321Q vs.
Acer Z321Q (£480 vs. £750)
Lenovo Y27F vs. Lenovo Y27G (OcUK doesn't stock Lenovos...?)
At some point, there were HUGE discounts on the 32" Acers, and IIRC, you could get the XZ for £300, and Z for £500. Unfortunately, no such discounts, anymore.
Lenovo's old G-model actually started with a "regular" price premium of ~£200, but it has fallen quite low (or rather it's being discounted quite often), after they released the "Lenovo Y27G Razer Edition". So the difference between the two original models shouldn't be that much, anymore, maybe around £100? Unless you find a similar discount for the F-model, naturally...
Ps. For people listing other pairs: for proper comparison, each pair should be from the same manufacturers, otherwise brand image could be counted as a differentiation factor.
Ps2. There are regular "Wide-screen" monitors (16:9), then there are "Ultra-wides" (21:9), and then there are ... "Double-wide"? "Super Ultra-wide"? I don't even know what they're called, but check
Samsung C49HG90 (32:9).
Ps3. For console gaming, you should look at regular 16:9 1080p 60Hz monitors. Anything else, and you're actually more likely to encounter scaling and syncing issues.