I was playing in a store champs today,I thought you randomly decided who got to choose initiative. The TO ruled winner gets initiative. No choice.
I did not argue but I don't agree with the ruling.
Since we do not have a faq yet I looked at other ffg games to check.
Xwing: winner chooses. If points tied.
Warhammer invasion:winner chooses
Net runner: Corp
Starwars lcg: dark side
Agot: plots determine
so as it stands now it is ambiguous, but I am pretty sure it will be ruled as a choice in the future based on history