There's a huge difference between a crossover in an lp and a crossover in the middle of a video.
Understandbly, you can do a crossover in the competition, since the trick DOES require the least amount of stamina (compared to atw/hatw/htw) it shouldn't be praised over a long atw/hatw/htw combo without crossovers.
For lps, it doesn't matter, you're not performing for fsers, as khoa said (in some thread) people prefer co's over atws/hatws/htws. Idgaf if you do a co in an lp.
But if you do smth like amatw-amatw-amatw (nt) -atw-atw-co-atw-htw. The crossover (for me) is like breaking the combo.
My opinion, it's debatable, but that's how I feel.