Ask HN: Does a wholly owned US subsidiary increase litigation risk?

We’re considering incorporating a US wholly owned subsidiary to sell our product to US customers.

We would set a fair transfer pricing but officers would be shared.

We are already selling to US customers from Europe (except US Government).

Does having a US subsidiary (distributor subsidiary) increase substantially the risk of litigation compared to selling directly from Europe?

Since officers/directors will be shared the risk of “piercing the corporate veil” is high, but our question/concern is if the mere fact of having a US subsidiary makes litigation a lot more prone than without it.