A tailor when measuring a gentleman for a bespoke suit, would ask “What side do you lay?”. Although a dry suit is not tailored to such a degree, there is a sense in what side you are most comfortable. Then you should consider the most comfortable routing of the tubing through the undergarments to the valve on the inside of the thigh. When considering this, keep in mind how tight you normally wear your dry suit (buoyancy control). A quick connection valve between the tubing and the catheter does add convenience to donning and doffing the suit.
Many P-valves (such as the Halcyon) can be left open during diving. It is only necessary to close the valve if there were a malfunction during a dive. If this were the case, which hand is easier to use? The question of whether you are right or left handed is unlikely to be an issue and is less important than comfort. It also depends on your configuration. If slinging two stages or bailout cylinders on the left side, it may be easier to use the right hand to reach the P-valve. Either hand can reach the valve irrespective of which inner thigh it is fitted.
I am naturally left-handed but have no problem using my right hand to turn the valve on or off if this was necessary. My preference is for the valve to be left open and I have not found this to be a problem. Other valves may operate differently, and so it is important to read the user instructions. If using a P-valve in a Fusion suit that is fitted only in the inner “bag”, the outer Lycra/neoprene skin makes it tricky to turn the Halcyon valve on or off – so it is best kept on during a dive. On a trilaminate suit, there is no problem. I have no experience of neoprene suits but cannot see why there should be a difference between them and a trilaminate suit in terms of valve operation.
One last point, hygiene is important. After use, it is important that the valve, tubing and quick connect fitting is cleaned using disinfectant to prevent urinary infection. This is best achieved using a squeeze bottle or syringe to flush water and disinfectant through the assembly.