Certainly in cases of collision the owners of the vessel retain liability even with a Suez Canal pilot on board[0]. It's possible that they then have a claim against the canal company for provision of negligent piloting, but I don't know that.

[0]: https://www.reedsmith.com/en/perspectives/2020/10/when-commo... - and the (linked) full judgment is also interesting; the pilot of the ship that caused the collision wasn't doing a good job on that occasion!