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skipping the "pet manufacturer" part-
Not really hard and fast rule but there are "rules of thumb".
Any boat with a decent power to weight ratio can be called a "performance boat."
An "offshore boat" is typically a V hull (cats do apply however) that displays a V entry of between 21 and 24 degrees with 24 degrees being the accepted sweet spot by history and reality. The Bertram moppie gets credited for being one of the first (I really doubt it is) 24 degree v's to make a marked difference in offshore performance races.
V angles shallower than that are more typical of lake boats that dont have to cut through large waves - that said some "Lakes" can be absolutely brutal and are worse than the oceans on occasions. Lake michigan comes to mind.
Although many boaters have "offshore boats" the vast majority on this and other sites do very little "off-shoring" but merely run up and down coasts in ideal weather as fast as they can.
In my mind a boat setup for REAL offshore running boat isolates its occupants from not only waves and chop, but allows for unrestricted fog, day and night running with safe navigation.
In the ocean and great lakes the weather can change in an instant, fog can roll in, and the wave heights and periods can change faster than updates on the internet.
In short you can be as cautious as can be but you cant always depend on the weather cooperating, the ability to get you home when it gets bad is critical difference between a fast ocean capable boat and one set up for REAL offshore running.
Uncle Dave