I've looked at two different reviews, TPU and Anandtech, and both show Vega 64 about 1% faster than a 1080 based on the 99th percentile results (and averages if otherwise not available) . These are the only two reviews I've actually looked at. I should clarify that neck-and-neck refers to 4k gaming. I haven't done a weighted review of any other sites yet as I haven't looked at them.
4k Freesync monitors are cheap and 4k is great for general PC usage (text looks really nice) that, personally, I won't game at a lower resolution. There's just no value to me. Both Vega and the 1080 are marginal at 4k at max/near max details (the kind sites like to test) and, unfortunately, don't test at a setting I'd actually game at. But you go with what you can get, right?
In any event, 2 of 2 review sites say Vega 64 is faster at 4k than a 1080, even if just barely.
As a 4K Freesync monitor owner, I see no point in throwing $600 at Vega for 4K Freesync. I'll cut my losses and get a GTX 2070 and Gsync monitor instead and actually have a viable upgrade path. AMD won't have anything to replace Vega 64 for a long time. 4K gaming just is going to ALWAYS be a game of large compromises moving forward for AMD.
I'd focus on 1440p or lower if I was using Freesync.