The presence of a magnetic field has also been suggested when replicating F&P experiments, but I failed to find references unfortunately.
There are some papers on LENR-CANR.org describing the effect (or lack thereof) of magnetic fields, but results are not always clear.
As far as I am aware of, static magnetic fields can increase the lifetime of Rydberg states considerably especially at high excitation states. This is a graph I recently made from the data in a related (paywalled) publication. The lifetime of circular Rydberg states with negative magnetic quantum number m is increased, that of those with a positive one is decreased:
Intuitively it looks like magnetic fields would be helpful in forming more Rydberg matter, but Holmlid has reported also in the latest publication that they can prevent condensation of Rydberg matter to the ultra-dense state.
Perhaps (just my speculation) they can be helpful if condensation to H(0) is allowed to take place away from the catalyst and the magnetic field source (e.g. heater)—which might not be the case in many compact LENR reactors like tubes and so on—or if the magnetic field is intermittently applied at a low rate.
What seems relevant is to produce a constant flow of Rydberg atoms rather than produce uncontrolled bursts (of too small amounts) given the limited lifetimes of Rydberg states.
The deliberate presence of an excitation source, or high temperatures with a material that can thermally emit Rydberg states (of alkali metals) seems the easiest way, although one thing is in theory and another in practice.