I would lean towards the Winchester M70 EWSS, but I have one and probably biased. Only downside is high bolt throw tends to hang up or get interferred with on the larger optics bells now. It's a minor gripe. On another note, if you need any warranty work I have always had a good experience calling FN (Browning/Winchester).
I didn't see all of the specs on the Weatherby, but it looks like the main upgrades on it are the Cerakote and MeatEater Logo. The Winchester M70 EWSS has CHF barrel and B&C stock (debatable upgrade), and it's stainless. Not sure if the Weatherby is stainless under the Cerakote and I didn't see anything about the stock.
Also, is this the rifle the guys are carrying around in the new season? I haven't seen it yet, but I know early season it looks like they're carrying custom Model 700s (or custom clones). Then later seasons they carry Savages (stainless synthetic models), I assume through sponsorship or something, though they don't advertise/hock Savage. Just curious if this Weatherby is equipment they personally use or just licensing their logo to it.