Back in 1970’s I started, but never completed, a kit model in which I used CA liberally to secure rigging knots and splices. The model had been stored for 40 years in a box in darkness since that time. On recent examination, many of the knots have failed, with lines hanging loose or lying on deck. The remaining rigging is brittle and disintegrates on contact. My advice would be to avoid CA for rigging at all costs.
These days I use dilute neutral pH PVA adhesive exclusively for securing rigging. I avoid regular PVA formulations because of their initial acidity when in a liquid state, which presumably becomes more neutral as the glue polymerises and hardens. As all chemical reactions are reversible, I think I read somewhere, that over time, hardened PVA can depolymerise to produce polyvinyl alcohol and acetic acid. The acid could be deleterious if it come in contact with cotton rigging.
I have also used acrylic matt medium at times for securing rigging lines. However, on testing the particular formulation I was using, found it to be extremely acidic (pH <4). I would advise those using Matt medium to check the pH of the formulation they are using.
Dave