The passage of a line of storms may well wipe out dx - but not always. In other words: it depends. If the squall line is a cold front, which is followed by cooler, drier air, that will surely wipe out most ducting in the troposphere. However, there are times when a line of storms are not associated with a cold front. Sometimes they precede a warm front, in which case they are followed by even a warmer and moister air mass. This would tend to enhance tropospheric ducting. It also depends on your location. In the plains (especially the southern plains), you get 'dry line' thunderstorms which can be quite severe. Behind these storms would be a different, drier air mass at the surface. This would tend to wipe out the typical tropospheric ducting; however, I've also heard of long distance dx just behind the dry line because of the unique vertical profile of the colliding air masses.
There are dozens of scenarios that could be mentioned here. The best way to state this would be to say that storms absolutely do impact dx reception, but the impact (positive or negative) depends on the specific conditions that are in play. It would be a mistake to try and use a "rule of thumb" in such a case - it's a lot more complicated than that.