Hi,
Jakov here, Lido on Polygon lead
We decided not to go with Uniswap initially because Balancer offered their metastable pool which is perfect for stMATIC/wMATIC and other similar correlated pairs.
Uniswap v3 seems like a logical choice due to efficiency and popularity, but it would require some operational complexity to adjust the LP ranges, so it is not a complete set&forget solution.
However, there is an interesting forum post that seems like a good solution for stMATIC too:
Not sure if this was implemented?