What is the difference between "reaction in both directions" and "equilibrium"?

According to the Wikipedia page on Chemical Equations:

Symbols are used to differentiate between different types of reactions. To denote the type of reaction:
"$=$" symbol is used to denote a stoichiometric relation.
"$\rightarrow$" symbol is used to denote a net forward reaction.

"$\rightleftarrows$" symbol is used to denote a reaction in both directions.
"$\rightleftharpoons$" symbol is used to denote an equilibrium.

How is a "reaction in both directions" and an "equilibrium" any different? Aren't they supposed to be identical?