I like to think if it as connected to potential in the way described below, but transmitting or otherwise erasing it might be called kinetic energy. The one thing for sure is that there is a minimal entropy generated when a bit is erased.
Landauer's principle says at least kT ln(2) energy must be lost as heat when a bit is erased. At least k ln(2) entropy is generated when 1 bit is erased. It seems to me that a perfectly efficient (minimal) information storage system is holding this energy as a potential energy in chemical bonds. So I vote for "potential" energy. The maximum "shannon" informational bits a physical system holds is its physical entropy divided by ln(2). Divide the entropy by ln(2) to get the minimal number of informational bits someone would need to convey to you to get the exact state of the system.
The energy of kT ln(2) is barely equal to the breaking of a van der waals force at room temperature, so it's not a very stable bit. I believe it has only a 50.0001% chance of not being broken by a single thermal collision. Stronger storage bits increase the probability that the data is accurate. So I believe there might be some error in what I'm saying, but I am not in a position to overide Landuaer's exact statement.
k is boltzman's constant which is in units of energy per temperature. However, temperature is an exact measure of kinetic energy that has an exact distribution. In other words, it is a mistake to think temperature is fundamentally different from kinetic energy. So entropy is unitless (nits) which can be seen more directly in the more fundamental equations for entropy. Divide nits by ln(2) to convert to bits. Entropy is really and truly a measure of "disorder" in an informational sense.
I want to correct the premise. The principle of least action (the stable expression of the principle of stationary action**) states the average kinetic energy minus the average potential energy over any time period will be minimized (this exact, see Feynman's red books), which means mechanics prefers potential energy over kinetic energy. In separate systems, the bias against kinetic energies that would move "contrary" to each other implies a bias against heat and therefore entropy generation. Higher potential energy implies less entropy especially since the highest available bonds provides a cieling on what bonds will be used, which means copies of the highest energy bonds. Copies means less entropy, all other things equal. This might provide a physical bias for evolution.
More directly, Feynman mentioned least action's "cousins" that minimize heat and entropy generation. He stated he was not able to find the quantum mechanics equivalents. This does not mean entropy is reduced, but that there is a bias against it being created in the first place. It is a lot lower than if you are only aware of Newton's Law that erringly treats friction as a fundamental force (again, from Feynman).
** In the presence of tempreatures and QM, how can maximal action be stable? Is there real example instead of theoretical examples?