Well if you mean breakpoint as in board x on a lane then no that obviously would not be the same. Additionally something like a foot mark (42 feet for example) is not always going to be the same either. There's a few reasons for this but I'll give you the simplest.

First, on some patterns there are differing lengths of oil on different parts of the lane. So for example from the gutter to 10 may be 36 ft and 10-10 may be 40 ft. If you're playing inside 10 there is longer oil which on a normal basis (there are always exceptions to the rule) your breakpoint would be further down lane.

Secondly, speed affects breakpoint. Have you ever thrown your ball right through breakpoint even though you hit the same line? You've altered the breakpoint distance even though it may break off the same board.

Ok one more reason, the ball itself. There's a reason cores are dynamic and surfaces aren't all the same. Different combinations will produce a different amount of length on the same exact lane condition for the same bowler.

Also, I think these reasons negate that the balls will have different exit points as well.

I hope this helps and I'm sure some more knowledgeable people will comment and correct my deficiencies.
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