Nope. Doesn't work. I'll still reroll and suffer through it (and make your registration servers suffer in the process) or more likely just not play play the game.
You can't answer the question because you don't understand us. I don't want to play the game if I can't use the unit I want. Period. It becomes worthless to me and I won't waste my time. But even if you JUST give me a pick ticket like >>144499
suggested, I'll still reroll for a second unit I want. That's just the way it is.
Rerollers aren't collectors. We don't want every single unit. Otherwise we'd accept that we'd have to dump ridiculous amounts of money into the game anyway and just not care. But I do want something, anything that I would enjoy having at the start, or I'm not going to bother.
The answer that would solve it for me is to give everyone an unlimited in-game reroll function available at the start (something like 10 rolls but only the final item will be max rarity) + a max rarity pick ticket at a reward for completing the story.
If you just give me the pick ticket at the start, I'll start rerolling as soon as I get to the second multi roll. Nothing will change. But with this, I'll just mash a button until I get anything that I'm satisfied with, then play through the story to get the carrot on the stick at the end which will probably be the character who I really want.