Does the fraction of dark matter diminish with early dark energy?

In prerecombination early dark energy (EDE) resolutions of the Hubble tension, the rise of Hubble constant value H0 is usually accompanied with the exacerbation of so-called S-8 tension. Inspired by the swampland conjecture, we investigate what if a fraction f(& lowast;) of dark matter is coupled to EDE, m(cdm)similar to exp(-c(|Delta phi ede|)/M-pl) with c similar to O(1). We perform the Markov chain Monte Carlo analysis for the relevant EDE models with PlanckCMB, BAO, Pantheon and SH0ES dataset, as well as DES-Y1 data, and find that such a fraction helps to alleviate the S-8 tension. However, though c greater than or similar to 0.1 is allowed for a very small f & lowast;, which suggests that a small fraction of dark matter has ever faded with EDE, c similar to 0 is also consistent.