Rigid board installed after framing in Interior Basement Walls - Should I be concerned about trapped moisture?
Air layers in insulated walls could help to carry the condensed water out (if the air can circulate) - otherwise it could accumulate moisture. 

It depends on the sequence of layers. In this wall here the insulation layer is at the inside of the concrete layer, which could be a problem. 

To get precise information, this web site may help:

Ubakus.de

By inputting the layers, possible problems will be shown in a second. 

Experimenting/researching is easy by switching on/off of layers. 

R-value can be shown by clicking on the spanner/tool icon next to the U-value.

It is free for private use.

Fastest way is to choose an adequate example (menu) and to edit the layers.