HK old style cocking tube and accuracy

[pyroclayman]

I began dissasembling a FMP G3 today. It has the old style non tapered cocking tube. I had only previously delt with the tapered. I got fortunate that this front end has seen little use, barrel is as new, and with new normal stock size rollers it gaps at the top end of good.

But I didn't realize untill I got to looking close that there is some interference at the front of the cocking tube into the tripple tree. Actually makes contact, and where there is clearance there is very little. Unlike the tapered tubes, there is almost zero tolerance for error when alighning barrel and tube.

Am I right in assuming that the reason for the development of the tapered tube was an effort to further float the barrel, and was thus considered potencial accuracy improvemnt?

Short of switching to a tapered tube is there any remady for this?

How about reliveing the back side of the middle hole in the tree to give a bit more room?

Or: is this unlikely to make a noticable difference?

Thanks for all thoughts,

P