I can’t speak for all deep-sea ships but in my experience if you’re sailing foreign the ship is going to be subject to a lot of PSC inspections. Especially if the ship is going around the world because in each MOU is separate, so you can pass a PSC inspection in Northern Europe with flying colors and still be subject to another PSC inspection a few days later in the Med.
Signatories to the Paris MOU (blue), Tokyo MOU (red), Indian Ocean MOU (green), Mediterranean MOU (dark green), Acuerdo Latino (yellow), Caribbean MOU (olive), Abuja MOU (dark red), Black Sea MOU (cyan) and Riyadh MOU (navy).