That one in twenty million is about as accurate as your calculating what you made pushing buttons as anything above minimum wage.
But, repeat something enough times and some might believe your statistics.
In any case, Yes I agree that the house edge changes slightly when tipping, but you're a number crunching million time in a row button pushing grinder. The edge matters to you it's all that matters you never expect to make more than whatever you think your edge is as you flat bet all the way. Last night I was talking on the phone with a friend, a fellow high roller, and we chuckled about how few understand how high rollers play: we could be playing a toin coss

with NO house edge and it wouldn't affect more than minutely whether we walked at the end with a lot or nothing. Also, non-Baccarat players will never understand that a deck set in the shoe is different from say, a series of dice rolls or roulette spins. Trying to explain any of this truly is like trying to explain what chocolate tastes like to someone who has never seen it.
As far as my luck or whatever it is

that has blessed me with a lifetime win at BJ and Baccarat, what can I say? I recall one Baccarat session years ago where the pit boss interrupted me with a "Don't you
ever lose?" I paused, but just for a moment, and then went back to what I do best.