Basement finishing question

Metal studs are no bueno, no sound dampening. Second point, if your basement needs water proofing, that goes on the outside wall. 

There are waterproofing systems that work on the inside. Metal studs wouldn’t be a problem in my opinion as long as it insulated all of the walls. If you have a open rafters to the first floor you could move any protrusions like shut off valves and then insulate and drywall. The room will feel more finished if you have a drywall ceiling. If you were concerned about the metal studs you could always run a second layer of drywall

If your foundation walls leak the best place to address that issue is on the exterior.  Interior-applied systems will not hold up against hydrostatic pressure.  And a good exterior foundation waterproofing system will include a good foundation drain system and a drainage course (gravel or composite drainage board) over the vertical membrane.

If the foundation walls are CMU, an interior coating will also serve to keep the water in the CMU (which is vey absorptive, and will likely have open cores), so the water will usually flow down to the slab level and then seep out of the CMU onto the slab surface.  That results in flooring system damage, and possible damage to the bottom of the wall finishes.

If the foundation wall is cast-in-place concrete, it should only leak at cracks, control joints and/ or penetrations.  These can usually be dealt with with urethane grout injection from the interior.  And supplement this by making sure all downspouts are routed to discharge away from the house and make sure the soil surface slopes away from the foundation as well.