I had an interesting experience the other day with cockpit Nexrad versus ground radar just north of Greensboro NC.
https://flightaware.com/live/flight/N215TG/history/20150811/1830Z/KAGC/8NC8
The line of storms was relatively low energy by some measures but it was quite solid. Visually it seemed to extend all the way to Tennessee even though my Nexrad, the FlightAware shows the end of the line north of Charlotte. ATC indicated the line extended for 50 more mile west of where I ended up penetrating it.
I had the fuel to out around the end and do whatever but ATC had aircraft penetrating soft spots in the line both down low and up near the low teens. They were pointing out where I might be able to get through based on their radar and ride reports. I asked for a recommended vector and took it. Still visual I took a very hard look at my Nexrad and the clouds. I made a decision to turn 20deg right of their recommended vector to follow a bright spot and told them I might be deviating left and right on my way through.
I was prepared for 5 minutes of being bounced around in IMC but instead was able to stay 99% visual in the cloud canyons and only had one section of 'rough road' in clear air.
In the end, trusting my rather lengthy viewing of the cockpit Nexrad data AND being visual and patient as I flew along the line trumped ATC's recommendation. It was just an informed judgement call, not a meaningful comparison of the 2 radar sources. I was lucky.
A couple of days later I made this flight:
https://flightaware.com/live/flight/N215TG/history/20150813/1600Z/KSSI/KPMP
Video before penetration (you can see Cape Canaveral's Shuttle launch and runway facility)
Normal conditions in summertime FL. What was interesting was making a decision about where I would penetrate then having ATC come on and tell me that they had 2 airline ride reports for 2 different points. One was a smooth ride, the other reported 'severe and extreme turbulence'!!!! I explained to my passenger that 'severe and extreme' meant nothing stayed in place that wasn't tied down and in all likelihood the pilot scared himself. I had chosen the smooth path and again, stayed visual for 99% of it. However I was sloppy when I did cut some cloud corners though and had 2 altitude excursions.
The nice part is both flights were interesting and challenging but the only excitement was in the joy of completing them without any excitement.