>>32642201HGSS are objectively better games in virtually every way. Playing the original Gen 2 means all attacks are determined by type (Fire Punch is Special Attack,) there are no Natures, and certain cool Gen 4 evos for Gen 2 pokemon will not exist (Togakiss, Gliscor, etc.)
The music and atmosphere are doubtless nostalgic for anyone who played them as children, but as a newcomer I really think you'd have more fun with HGSS. It's easily the best of the three remakes so far. You can even unlock the old chiptune tracks at the end of the game which can be played instead of the updated themes.
Only play the originals if you want some insight into the history of Pokemon.