Would extra construction send more pre-dreadnoughts overseas?

Would the extra ships allow older pre-dreadnoughts to be sent to foreign stations?

Some probably would, but many would still follow the historical pattern and enter reserve.

More new battlecruisers and cruisers would make it easier to release older pre-dreadnoughts from first-line duties. Some might therefore be sent to foreign or imperial stations. Reserve status would remain the more common outcome, as it was historically. The extra construction changes availability without automatically creating a useful overseas mission for every obsolete battleship.