That's how mine reacted before I put a lift pump on it.
Try bleeding your filter head and see how much air you get out. Us with lift pumps don't get any. Those without will get some air. Those with a air leak somewhere in the fuel system will get lots

And a crd won't run too well on air

The fuel lines from the tank are from the gas KJ's and they have a pressurized system and have no problems. We have a vacuum system and using the same cheap plastic with o ring connectors back by the tank and they tend to leak air
For me it was expecially bad in warm/hot weather. On a hot day in Kentucky I stopped at a station and filled up. It was on a busy 4 lane road and I needed to turn left. I saw a break in the traffic and pushed the pedal down. Those two seconds were the longest in my life

It always had what was assumed to be turbo lag. With a lift pump I have no such problems. I bought this CRD new over 4 years ago and have been a member here since.
Early on this problem was overshadowed only by the early torque converters. And long before fuel filter heads started melting probably because there was air instead of fuel in there. I still have my original filter head. Jeep must have known about it because the control logic is in the ECM, the relay and fuse are in the fuse panel under the hood and most of the wire is allready there
You can try one by using Black Liberty's method first. It will cost $50 or less and be done in less then an hour. Them you'll want to put the dodge/Cummins pump in the tank when you feel the results.