Caching the simulation of Cloth Asset - does it work?

Hi, I have a problem when I try to record cache simulation of my cloth assets attached to a blueprint. The simulation works fine, I can see it during the recording, but when it finishes, the Chaos Cache Collection seems to be empty. There is a track in Sequencer but it doen’t seem to contain anything, the disk size confirms it. After that the cloth in the viewport is destroyed, I have to put character again in the level. Have you encountered this problem?

I am using the new USD workflow and I followed that tutorial:

UE 5.4.3