Dizzy,
My experience is the opposite of Jim's.
I found that Lanemasters allowed me to go in stages of shine. It went on a little slower and I needed more polish and more pressure to get the level of shine and therefore, skid. With Brunswick's, it was an all or nothing kind of shine. It took the ball to a gloss shine quickly and with less polish and pressure than Lanemasters. It's kind of a one step polish, for me.
That's a reason where, if I decide to use either of them, I usually choose to use Lanemasters. I do have Brunswick's Factory Finish, but I can't recall the last time I used. Both work fine. It's more a matter of where you want to go and what your target is.
That said, 90% of the time now I use Valentino's Snake Oil, on everything and every brand.
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"None are so blind as those who will not see."