Cutting the rope and stretching it out across the room(s) is just absurd. Doesn't make sense.
(Respectfully snipped for focus on this one issue)
IT,T,TA...

Travis appeared to be a pretty meticulous guy... liked average/nice things and cared for his home and belongings.
- He would not use a knife to cut cord on his bathroom tile floor. I have the exact same tile (same size, color, everything. You don't do that. It can scratch.
- He wouldn't do that on his double-sink counter. Have one of those too, and he wouldn't want to scratch that either... plus there is less flat surface area than you think, so it would be hard to get a cord on the very edge, just so and then cut into you sink top with a knife...
Not what is known of his character, living habits, friends descriptions of him. Not believable.
If he DID cut any cord, He'd do it on a surface like a cutting board. Not on anything that would get scratched potentially. Just dumb.
Why would JA take the so-called ropes with her, for that matter?
All that was found by LE was what looked like about 4 inches of something, and a decorative loop (that may have held some lengths of cord together) on one of the stairs...
I don't think the "ropes" (they're decorative, tasseled, smooth, shiny cord made up of tons of wispy threads. They are not utilitarian - like rope). This is not rope. It might be used for sex play - who knows (and who cares?). Even sex experts don't call that deviant for consenting adults... either way, it's not relevant to the murder, imv.