The most obvious generalisation of the Tapa Rope rules is allowing the ropes to cross. I think the rules here are intuitive enough that I wouldn’t even consider this a variant, but keeping the vanilla rules as simple as possible makes sense. I will likely be using crossing ropes in conjunction with other variants in the future, because they let you do some interesting things.
Rules: Shade some cells so that all shaded cells form one orthogonally connected area. Clues cannot be shaded, and represent the lengths of the blocks of consecutive shaded cells along the length of rope attached to the clue, not necessarily in order. No 2x2 region may be entirely shaded.
Variant: Crossing — Ropes can intersect each other and themselves but do not turn at the intersection.