Double braid with tightly woven cover

[seawolf]

Hello all,
I have made a few splices in Sta-set double braid with good results. A friend asked if I could splice a line for him. He wanted to end for end his main halyard. I noticed the cover had more strands woven then that of the sta-set, and it looked like it would be difficult to open the strands to pull the core out.It looks like the cover uses pair strands interwoven. Where the sta-set had 3 strands interwoven but not so tightly. Should I be able to pull the core out of any kind of double braid line, no matter how tightly the cover is woven?
Sorry I do not know the brand of line.
Thanks for any advise to come.
Happy sailing holidays
Bob
1962 Columbia 29