Perhaps. Airships will likely want to travel along jet streams since the wind speeds can outpace the airspeed of the airship. The neat thing here is that weather that will be problematic can be predicted days in advance, not just hours. Even 2 hours gets you pretty far in an airship in wind-calm, especially compared to (say) container ships. When you aren't in wind-calm, you can probably take advantage of winds by choosing your altitude wisely.
There has been no increase in air turbulence accidents per passenger mile over the past 30 years despite a quadrupling of air traffic (so more chances to encounter turbulence).
After normalizing the data by annual flight hours, there was no obvious trend over time for
turbulence-related Part 121 accidents during this period [1989-2018].
The BBC article cites a modelling paper. In a conflict between real data and a simulation, real data should win.
Turbulence for an airliner is going to be experienced differently for an airship. I'm not sure what to expect, TBH, but the difference between a plane moving at Mach 0.8 and an airship moving at 80 mph will definitely be real.