I did the same Barracuda, I only submitted 1, should've submitted 4 to increase my chance
In a way, you get a higher chance to get a BroBot. If you chose BroBot A and A sells out and you are chosen, then you miss out. If you chose A and B and specify you only want 1, if A sells out, then you have option B to fall back on.
Choosing options A through Z won't increase your chance since they are all in 1 ticket, and if your single ticket doesn't get picked, then it doesn't matter how many BroBots you selected.