I think mods would rather you use FCEUX, Nestopia, BizHawk, or OpenEmu.
To piggyback on what @Skeeter said, but with more definitive language:
This leaderboard operates on a fairly strict whitelist of emulators and consoles - all shown in the rules:
NES Categories
Original NES, Famicom or FDS
Original NES or Famicom with Everdrive or Powerpak
Wii, Wii U, Switch and 3DS Virtual Console, GameBoy Advance
FCEUX, Nestopia, Bizhawk, OpenEMU
Frontends used in conjunction with these emulators that can alter the performance (ex. RetroArch) are not permitted
NES Classic Edition
Analogue NT Mini
To answer your question directly, you can not use the emulator you referenced, since it is not on the approved list - if you were to submit a run using it, it would be rejected. All of the approved emulators are accurate and easy to download.
Effective immediately, any submissions using the SNES9x emulator will not be verified. The SMB1 mod team has concerns about its integrity due to its ability to overclock and remove lag frames, which may not be easily detectable. Additionally, we request that all BizHawk submissions avoid using the S