What bottled condiment sauces do you believe/know require refrigeration?

I recently threw a bottle of hot sauce away. It was in the cupboard as I believed it indestructible, but, over time, it darkened, then started separating.

Today I opened a bottle of soy sauce and it didn’t fit in the door of the fridge. The label didn’t mention refrigeration. Should I make space in the fridge?

I know sauces with tomato (BBQ, steak, cocktail, ketchup) darken in color and taste, but what about the more liquid, acid-based sauces?