Agreed Mr.'Smellydog' Sir... At the more regularly encountered (closer) distances to quarry of the ranges 50->maybe 250 yards/meters whether the same weight and start out velocity bullets have lead or poly tips up front, and whether they are slightly damaged or not due to being buffeted about under recoil in the rifle magazine, the differences made to the point of impact on target will be quite minimal in the vertical dispersion sense anyways.
As to the melting off of the lead tips of softpoint projectiles I cannot see this happening to any appreciable extent (if it DOES occur that is) inside the barrel of the launch vehicle as the bullet needs to get up to an appreciably high speed FIRST before air temperature becomes hot enough, and over the length of the barrel the AVERAGE speed can only be approx. ONE HALF of that of the achieved muzzle velocity.. Yes?
And then, with the lead tip being a continuation of the whole lead core behind it, and with lead being a very conductive metal where heat is concerned, the heat sink effect of the mass of the whole projectile would counter the tip heat up to some extent at least I would assume, unlike those isolated poly-tips that are ALSO poor heat conductors if compared to the lead variety!!.? They would potentially heat up much faster and within the tip areas only too perhaps cos of their isolating material composition.
Thinking about this now with these considerations I would doubt that the melting off of the COMPLETE Lead Tip of a lead softpoint bullet happens much at all.. The launching velocity would have had to be quite high (say 3500 fps++ .. ??) AND REMAIN so for the majority of a fairly long flight time for this to even begin I would postulate... Remember, the heat source can ONLY be due to the compression and friction of the passing air of the bullet in flight once fired.
Also, the time involved probably isn't long enough to accumulate to where it will begin to melt the lead at the bullet tips. As a for instance I have just looked at the flight time of fastest bullet I have in my gun cabinet, the 20gr. Hornady V-Max as launched from my 23 & 1/2 " barrelled Sako Vixen @ an average of something like 4,450fps.. Yes you read that correctly!!..
Even though it will slow up extremely quickly in comparison to more used rifle bullets in the larger, heavier, higher B.C.'d calibers like the plethora of .30s etc.. that tiny projectile is ONLY in the air (sunjected to this friction heating) for just ONE HALF SECOND till it reaches its 500 yard mark.. If the tip of a lead softpoint bullet is held in the direct flame of a Propane Torch for that same very limited length of time I doubt that the tip material will have been affected much, certainly not melted away, and this is with a DIRECT HEAT SOURCE playing on the tip lead material....
So in retrospect I am now of the opinion that the melting off of the whole tip of a fast moving lead tipped bullet is quite unlikely!!. Note, NOT impossible, but highly unlikely!......
Well these are my thoughts on this subject now anyway.
ATB ...... and shoot safely.