In a locked brummell, the lock IS the splice, but as Mike just said, you have to bury enough that the tail won't unravel. Dave from OK Arborist supply has a video of me splicing a Beeline hitch cord and when I formed one of the eyes, buried the tail, then gave it a gentle tug and the whole thing just came apart! The tail was not too short, but it did unravel while I was making the taper. It was an eye opener!
1" sounds WAY too short. I do about 3-4" on HRC and Beeline. Unfortunately, right now Yale and New Enland Ropes don't have published splicing directions for these ropes, so everyone is guessing. I encourage you to do what I did and call them and request/demand they publish directions for us. How can we comply with ANSI's suggestion that we follow the manufacturer's recommendation when they aren't recommending to us? They don't expect us to just NOT splice it, do they? Stepping down from soap-box now.
When I splice polyester, vectran, or technora hollowbraids into an eye-eye sling I like to make the tails run the ENTIRE length of the sling. Just like Rich said, it makes the rope a little beefier, and it gives consistent diameter.
love
nick