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Here is what is written in the FSM regarding the stop lamps & hazard switch
Stop lamps
The STP HAZ fuse in the instrument panel fuse block supplies battery positive voltage to the normally-open stop lamp switch.
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When the driver presses the brake pedal, the switch contacts close and the stop lamp output signal is supplied to both left and right stop lamp assemblies and to the center high mounted stop lamp (CHMSL). The stop lamps are grounded at G401.
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Domestic
When the driver presses the brake pedal, the switch contacts close and the stop lamp output signal is applied to the CHMSL and to the hazard warning switch. The stop lamp signal is applied from the hazard warning switch to the turn signal switch. The turn signal switch applies the stop lamp switch signal to both of the rear stop/turn lamps, turning them on full bright. The stop/turn lamps ground is applied from G401.
I would still think that using a Domestic Hazard switch would work fine in a Euro car. Plenty of people here have converted to Euro taillights with no issues while using the Domestic Hazard switch.