Trades batched by second would provide as much liquidity as anybody could use, without the yachts.
Btw, you need to be careful, because people might still race to be the last (or first) to contribute to a batch.
They'd race to be the first, if tied prices within a batch are resolved in favour of the earlier bird. Otherwise, they would race to be the last, so they have the most information available when deciding on their price (and so that they can change their mind until the last nano-second.)