I'm a woman and I had knives ALL over the house when I ran an ebay business. I had to cut and open boxes, and who the heck knows what else. My boyfriend at the time was quite concerned because everywhere he looked, there were knives. Steak knives, butcher knives, didn't matter.
They'd be in the office, the bedroom, sitting on the coffee table, on the mantle. I literally had to gather them all up for dinner time because I was too lazy to always go look for the "one" knife from last time.
And yeah, I had scissors, razors, box cutters, all that, too. I'd cut anything with a knife because I couldn't find the scissor--or get this--the dogs had chewed up the plastic handles on the scissors (Naps come to mind?), the scissors broke because I'd tried to cut too many things that were too thick for them. I mean, any number of reasons why.
At one point, I kept a butcher knife under my mattress. I called it being for protection, but it didn't take me long to realize that I certainly didn't want an attacker to get that away from me and use it on me, so I gave that idea up. About that time, I started minding where all the knives in the house were. You know, come to think of it, I must have watched some murder documentary that made me rethink off that knife stuff.
Anyways, I don't think it's illogical to bring a knife to the bedroom to cut rope.
I want to clarify, Jodi didn't say Travis cut the rope off her. At least if she did (fog and all that) she recanted and told JM that her hands could slip out of the nooses. JM questioned her for a while about that and she was VERY frustrating during the questioning.