They are all different characters: the remaining population of Lesser Hyrule after Ganon's invasion.
All Old Men/Old Women/Moblin Shopkeepers:
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Eagle Old Man
Moon Old Man
Manji Old Man
Snake Old Man
Lizard Old Man
Lizard Old Man
Lizard Old Man
Dragon Old Man
Dragon Old Man
Demon Old Man
Demon Old Man
Demon Moblin
Lion Old Man
Lion Old Man
Spectacle Rock Old Man
Spectacle Rock Old Man
Spectacle Rock Old Man
Spectacle Rock Old Man
Caves:
Sword-Giving Old Man
White Sword-Giving Old Man
Magical Sword-Giving Old Man
Magical Sword Guiding Old Woman
Letter-Entrusting Old Man
Lost Woods Old Woman
Lost Hills Old Woman
The Lion Secret Tree Old Man
Heart Container Old Man
Heart Container Old Man
Heart Container Old Man
Heart Container Old Man
Money Making Game Old Man
Money Making Game Old Man
Money Making Game Old Man
Money Making Game Old Man
Money Making Game Old Man
Road Guard Old Man
Road Guard Old Man
Road Guard Old Man
Road Guard Old Man
Shield/Bomb/Arrow White-Coated Merchant
Shield/Meat/Heart Merchant
Shield/Meat/Heart Merchant
Shield/Meat/Heart Merchant
Shield/Key/Candle Merchant
Shield/Key/Candle Merchant
Shield/Key/Candle Merchant
Shield/Bomb/Arrow Merchant
Shield/Bomb/Arrow Merchant
Shield/Bomb/Arrow Merchant
Key/Ring/Meat Merchant
Door Charge Old Man
Door Charge Old Man
Door Charge Old Man
Door Charge Old Man
Door Charge Old Man
Door Charge Old Man
Door Charge Old Man
Door Charge Old Man
Apothecary Old Woman
Apothecary Old Woman
Apothecary Old Woman
Apothecary Old Woman
Apothecary Old Woman
Apothecary Old Woman
10 Rupee Secret Moblin
10 Rupee Secret Moblin
30 Rupee Secret Moblin
30 Rupee Secret Moblin
30 Rupee Secret Moblin
30 Rupee Secret Moblin
30 Rupee Secret Moblin
30 Rupee Secret Moblin
100 Rupee Secret Moblin
100 Rupee Secret Moblin
100 Rupee Secret Moblin