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I guess Op just wanted to prove that Crash games are provably fair, and is not manipulated by the gambling sites. Well, the core idea of the algorithms of crash should closely follow what Op said and shouldn't deviate that much. They may change it up to increase their house edge or vice versa, but the idea remains the same. Besides, with the amount of crash matches that happen every day, someone winning big every now and then isn't even that weird or odd.
But IMO, there are a lot of gambling sites out there that uses their own algorithm and had their limits or was being manipulated. I've encountered a lot of issues in many gambling platforms I've tried back then and read many accusations of them being either too much fair that they made others win drastically big, or they made many loss too much. And that leads me to another idea that algorithms doesn't matter nowadays, as many enters gambling mostly not as their profit making habit, but a time to enjoy playing gambling games.