This creates a small issue in itself. Nothing big, but something to note of.
Most people don't know that the PSX had 3 gamepad revisions. The emulators on the Wii support the non-analog, simple gamepad (SCPH-1010), and the revised Dual Analog Controller (SCPH-1080), but doesn't have a distinction for the DualShock Controller (SCPH-110U). SCPH-1010 was actually emulated as a sort of fake hybrid between the first two (without Analog of course, for which you had to explicitly activate support inside the emulator settings). This hybrid allows you to use the rumble feature (originally present only on the japanese Dual Analog controller).
Since this fake hybrid controller is no more, you can't have rumble without enabling Analog (like the japanese Dual Analog Controller) in the emulator, with the problem being that you can't then have rumble inside games that do not support said Dual Analog Controller (Mortal Kombat 4, among others), which are a lot, as that gamepad was later phased out by the new and improved DualShock, which retained the best of previous revisions and has 100% compatibility for all PSX software, as you could simply disable analog with the press of a button on the real hardware, while having the rumble feature always present.