For an unbalanced valve the flow is almost always flow-to-open. There is an annoying instability near the seat called the "Bathtub stopper effect" in the flow-to-close direction. This can be overcome when using a very stiff actuator, either an oversized diaphragm or, better, a piston. The piston actuator becomes extremely stiff near the closed position because there is almost no volume between the piston and the end of the cylinder, so any process-forced deviation causes the tiny volume to be compressed by a high ratio-makes a lot of corrective force.
Eccentric-rotary valves (Camflex, Maxflo, K-Max, etc.) do not suffer nearly as much from the bathtub-stopper effect, so they can be stably applied FTO or FTC, with the fail-direction the same as the flow-direction. They have a bit higher Fl in the FTO direction, so they will be less likely to cavitate or make a bit less noise in that direction. But if you will experience mild cavitation, flashing, or have slurry it is considered advantageous to flow through ecentric rotary valves with the seat downstream.
Cage-guided globe valves require a little but more care. If the plug has open balance ports, the flow can be in either direction. If there is a pilot, than the flow MUST be over the seat because when the pilot closes, the plug becomes unbalanced and uses the process differential to give the seating load for tight shutoff.
Anticavitation globe valves flow over the seat because cavitation trims require that the flow converges in the middle of the cage.
Noise reduction trims usually require flow under the seat because they require radial expansion of the flow paths.