Paris is a pretty bad example. Just following your standard SID clearance can and will put you in a loss of separation situation, as will the subsequent vectors by ATC. Had it several times this year alone. Quite inept ATC in that area, just topped by spanish ATCOs (who do not even know what PAN is).
In the real world i would agree, just call MAYDAY and switch TCAS to TA only ASAP.