If you want to do much in the way of convincing, it'd probably be better to give some indication of practical tests. From what I've seen the effect is mostly just a conclusion of maths under RET, but actual testing has been minimal because, well, it's not easy. There seem to have been a couple, but after a brief google I haven't been able to see the precise results. They might be out there, but I can't imagine the effect is particularly significant.
The Eotvos effect is, according to Wiki, calculated by a cosine (attains a maximum at 1), multiplied by 2, the east-west velocity, and then by the rotation rate of the Earth which I think is 0.0000116 per second. Best I can find for a likely speed for a boat at that time (referencing the test Wiki said was performed) is a little over 3m/s, though I'm not a nautical expert so that could be wrong. You might be able to detect something like that, but it's unlikely to be much in the way of confirmation, especially given all the factors that would increase experimental error.
There is an extra term in Wiki, but it's a refinement, and features division by the radius of the Earth so, uh, yep, it'll be small.
If there are good, reliable and clear tests of the effect out there, then this could be an interesting argument, but until then...
And, side note, I don't think it matters whether or not the flat Earth spins. Centrifugal force on a flat world won't have any effect in the same direction as gravity.