To claim, to allege, especially when falsely or as a form of deliberate deception.

To feign, affect (a state, quality, etc.).

To lay claim to (an ability, status, advantage, etc.). (originally used without to)

Not really what it is represented as being; imaginary, feigned.

“As children we used to go on "spying" missions around the neighbour's house, but it was all pretend.”