Why the Royal Navy kept considering armored cruisers after Invincible

Were armored cruisers still considered after the Invincible class?

Yes. As battlecruisers became too large and scarce for all station duties, the Navy still needed smaller powerful ships for commands such as the Indian Ocean and South Atlantic.

Battlecruisers could serve at key stations, but not in enough numbers to cover every imperial command. The Royal Navy still needed a ship that could support light cruisers and act as a station flagship without the size and cost of a growing battlecruiser. That requirement kept the armored-cruiser idea alive.