Not really a good example. Liberace was a natural playful personality and actually a fairly good pianist, even if that got lost in the showmanship that was his real talent.
The kind of thing I am thinking of is services where, instead of injecting someone's idea of play into the service forcibly, you look for openings to make it happen spontaneously. Riff off things that are said in Children's Time, invite dialogue and respond to it, leave openings to respond to what happens rather than planning things down to the second. A service that is more Oscar Peterson than Vladimir Horowitz. Jazz is a much more spontaneous and (often) playful form than classical.
There are conscious things you can do and plan, but if you plan "play" down to the second, as I have seen done, you have missed the point.