Without parts in hand, this is pure speculation, but it would seem there is a little more going to this.
1.0625" minus 1.044" is only .0185" difference in diameter or .00925" across the radius. In layman's terms, we're talking between 3 and 6 (maybe 7) sheets of notebook paper for additional clearance over the radius/diameter. -Not very much.
Based on what I've experienced, major/minor diameters typically don't influence thread fits nearly as much as thread pitch diameter does. One has to look at how the opposing flank features on the thread profiles engage with one another to really begin to understand how the joint might flop around when it is not tight.
The good thing here is it (a 55* or 60* thread form) really doesn't have a negative impact on performance which is largely contrary to what a lot of shooters believe. The nature of the threaded joint is that with a load applied to the flanks, they tend to naturally center themselves. One thing to understand is that a 60* thread form does not load across its length the way one might think. Typically, the business end of the joint is really the only portion of the thread length that is truly engaged/loaded once its tight. That distance is typically 3-4, maybe 5 pitches deep from the shoulder. The rest is basically backup and/or along for the ride. The "Spiralok" thing became a fad in the gun world a decade or so ago as an attempt to solve this "problem". Basically it too resulted in a bunch of stuck barrels. If you could get around that issue, the next challenge was dealing with inserts priced so ridiculously expensive that it was largely prohibitive to pursue.
Once upon a time, I invested an absurd amount of effort (money) into this subject matter and what I ended up with was a bunch of ruined barrels that had glued themselves to receivers because they galled. No grease alive will mitigate 2 pieces of bubble gum stainless rubbing against one another at 100lbs ft. For me here, the std practice anymore is to run threads to the gauge standard and be done with it. Since doing so we've not had the scrap to deal with and performance has not skipped a beat.
It's great that the OEM took care of you, but in all likelihood, the rifle would have shot just fine.
C.