Things to check first
The short answer is that any polyester line like Sta-Set, or its Samson or Yale equivalents, is going to be hell to splice after it's been in use for a while. When the line is new it's more slippery and easier to splice. After a year or more in use it gets much less slippery, probably due to weathering, some UV induced shrinkage, and salt or dirt getting into the braid.
If you are determined to try the splice you can try washing the line with laundry detergent, then fabric softener. I've tried this with not much success.
You don't mention what the core of the line is. The type of splice will depend on this.
Another thing to consider is that you will lose some length if you do complete the splice -- approximately 24 diameters plus some shrinkage as the cover expands to fit the splice. Plus you will lose some length cutting off the old splice back to where the line is its normal diameter. Will losing this length be acceptable?
To answer your original question, the cover construction should not have much impact on the splicing process. Isn't there a splice already at the other end?
If it were me, I'd tell your friend that a knot is the best solution if he wants to end for end the line.
Good luck,
Clyde
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