Q.

A.

Yes, because those elected members that are involved in PB are seen by participants at the events, possibly before in promoting the project.  So they are linked with a very positive engagement activity, and because the principles of equality, transparency and clarity are key aspects of PB, those elected members can be seen as more trustworthy and are far more likely to be voted for in elections.  By being involved they are harnessing more of the power in their electorate.  There is a saying that to get power you must first give it away!