If you have relays, the easiest RAM is just a bank of latching relays and the easiest ROM is a resistor board. Core rope is only for density.

Achually. If you have L.M.Ericsson 8x8 latching crossbar switch, 64-bit memory needs only 6 relays. Yes SIX.

The Fuji relay-computer has lots of those crossbar switches.

However. The rope-memory in this scene is read-only-storage containing vast amount of data. Rope memory is economical to use but labor-intensive to produce.