Lot more to it than that. In experimenting with cast bullets, you will invariably have to deal with leading and / or inaccuracy because you got one or more factors wrong: bullet fit, alloy mix, powder, pressure,
velocity, etc. Perhaps the least important factors are conventional bullet lubricant and primer, but there are exceptions to everything.
.001" over bore diameter is a very general rule and not necessarily a good one; might work, might not. Best to ignore bore diameter and shoot the largest bullet that will easily chamber in an automatic or the largest bullet that will just barely pass through a chamber throat on a revolver. This measurement may be several thousandths greater than bore diameter.
As for velocity, once you get everything right and have perfect bullet "fit" and a good bore, there's not much in the way of velocity limitations, within reason. A bullet that's too hard is usually more prone to leading than one that is too soft, but both will lead if everthing else is not right.
While not a big Elmer Keith fan, this is the best example I can think of at the moment regarding the use of a soft cast bullet. Keith preferred a 1 in 16 (tin to lead ratio with no antimony) for use in the .44 Magnum. This is a very soft mix ( somewhere around 10 BHN, I think) and he shot them at maximum .44 Magnum velocities with good accuracy and no leading. Bullet fit and all else has to be perfect to do this.
Never tried coated bullets and won't criticize those who use them, but it appears that few, if any, of the serious cast bullets competitors use coated bullets. Looks like conventionally lubed bullets are more accurate and I know they can be shot without leading.
Cast bullets is a game unto itself and is riddled with "conventional wisdom" that is flawed but becomes gospel after decades, simply because it's difficult to prove or disprove many of the "rules". Cast bullets, in handguns anyway, can equal and often exceed the accuracy of jacketed bullets, but it can be a lot of very challenging work to get to that point.