Breakpoint's that are impossible for 14 attack or even 13
Assuming you power up a pokemon to 39 or even 40.
Are there any relevant battles where the 14 attack's quick move wouldn't do the same damage?
Same is true of 13 attack.
Or to spin this question another way: If you were maxing a pokemon. At max level would the 15 attack everyone wants ever matter?
Answers
I know Raikou hits a final breakpoint against a Vaporeon raid only with 15 attack at level 39.
In general, if you have a mon with 14 attack powered up to level 39, it's going to do such incredible damage that it seems that one more breakpoint would hardly make a reasonable difference. I know it could though so it's an interesting question.
Tyranitar with 15 ATK at level 40 has a breakpoint against Entei, when Bite goes from 5 to 6.
Dragonite with 15 ATK at level 40 has a breakpoint against Suicune, when Dragon Tail goes from 10 to 11.
Dragonite with 15 ATK at level 39 has a breakpoint against Entei as well, when Dragon Tail goes from 13 to 14.
Good question. I tried to bring this point in the past unsuccessfully. In most cases 14 attack works exactly the same as 15, at max level. Some of the examples others gave state so. I wouldn't be so happy with 13 attack. The hassle is that we have to check each individual case and it may change when new bosses are added.