You said already that more spin = more chance to hit high multiplier, There's really no guaranteed but your chance to hit it will be higher so statistically wise its true. Regardless of luck and using only probability, Gambler that has a lot of bank roll usually win that high multiplier than low bank roll since the chance for that jackpot is very slim which low bank roll is almost impossible to hit with few spin. Yes if you are lucky then you can hit immediately but if we use statistics and probability, This discussion can be easily answered by none objective conclusion.
Statistically means that you will also get a lower return as well. So assuming you have 1000 dollars, and you wager with 10 dollars each, you get 100 tries and if all are zero then you are out and it is over, but if you win a 999x then you will get nearly 10k dollars because of it.
However if you wager 0.01 cents for each of them, then there is obviously a bigger chance of hitting 999x, there is no doubt about that but when you win you will with 10 bucks or something. This is the difference, if your entire need is to get 999x and be done, then you could wager 0.01 cents and get away with that and not care about the results, but some gamblers do care about the results.