Solution
MP500 TCL3 so as MP500 PT1NFC are both natively able to handle automatically waiting time extension request sent by a card in a reader sequencer script or reader sequencer test application.
When using MPManager, the automatic handling of S(WTX) request needs to be added in the reader sequencer script.
When using reader sequencer test application the automatic handling of S(WTX) request needs to be enabled when using the parameter TSCN_PARAM_AUTOMATIC_SWTX_RESPONSE (42)
of the API MPC_AddToScenarioPicc.