A move from Par to Gas would cut Gas support to anyplace *other than* Paris, but would not cut a support for Bre - Par. So, Gas S Bre - Par, Par - Gas results in Par being dislodged. Because it was dislodged from Bre, it will not be allowed to retreat to Bre.
If Par - Bre with power 1 and Bre - Par with power 2, Par gets into Bre, and Bre retreats, and again cannot retreat to Paris.
However, if there is a support for Par - Bre, it would bounce 2v2), and if some other unit (say, Mar) is ordered to Gas, that would cut the Gas support.