Connected Lashnev spaces as continuous closed images of connected metrizable spaces

Determine whether every connected Lashnev space X is the continuous closed image of a connected metrizable space; equivalently, ascertain whether for each connected Lashnev space X there exist a connected metrizable space M and a continuous closed surjection f: M -> X.

Background

The paper proves that every T1 connected first-countable space is a continuous open image of a connected metrizable space, settling a question in that setting.

Motivated by this, the authors pose an analogous problem for Lashnev spaces (closed images of metrizable spaces), asking whether connectivity can also be lifted from a connected Lashnev space to a connected metrizable preimage via a continuous closed surjection.