Collected water needs a clear path away from the deck and house. We look at the yard's slope, nearby walkways and the proposed outlet before settling on the underside finish. A neat-looking ceiling will not help much if water empties where you want to sit or runs back toward the foundation.
Panel-based systems can leave a continuous-looking underside. Gutter-and-channel systems carry water through channels, and a custom-fabricated approach may suit an unusual layout. We compare the fit around your framing, how the joists will dry, access for checking or clearing the water path, and the height each option leaves below. The outlet and the finish belong in the same plan.
There's also a difference between collecting water above the joists and catching it underneath them. An above-joist system is commonly planned as a new deck is built; fitting one to an existing deck may mean taking off the boards. A below-joist system can work with an existing frame, but its design must leave a way for moisture around that frame to dry. We won't pick one from a picture without looking at the deck.