While you could use "top 2 WRs in receiving yards" as your definition for #1 WR, I think that might be a bit flawed, since it seems to be the same guys in the top 5 year to year and they just jostle for position. The best analysis would be to do a correlation between receiving yards (or receptions, or TDs, or something) and post-season wins across all WRs and see how much of an impact any of those metrics has, rather than cherry-picking (by the way, I just found out about this API which might make that sort of analysis trivial:
Getting Started - NFL API).
But in absence of that, here's something I looked up the other month, as I mentioned. Copy-paste from this thread:
I rest my case -
If you use "number of Pro Bowls" as a proxy for top WRs, the only player who made three or more Pro Bowls and won the Super Bowl was Marvin Harrison.
But, there are plenty of WRs who made three or more Pro Bowls and LOST Super Bowls: Fitzgerald, Holt, Chad Johnson, Julio Jones, Terrell Owens, Moss, Wayne, Smith, Welker, Thomas, Bruce, Boldin.
Those can all be considered #1 WRs. Obviously some of those players weren't elite when they were in the Super Bowl (Chad Johnson, LOL). And no idea if they made the Pro Bowl the same year they played in the Super Bowl, or how much cap space they were taking up that year. But there are quite a few elite receivers who lost the Super Bowl, so I wouldn't say that having an elite WR precludes success, unless there's something special about the Super Bowl (as opposed to the regular season and rest of the playoffs) that makes that the case.
Notably, of the 12 "elite" WRs who lost in the Super Bowl, 5 lost to the Patriots and 3 were on the Patriots. So again, all of these trends have to be considered in the context of New England dominance.