My throttle cable was sticks too when I bought.my tf last year. The stickyness disappeared completely when I disconnected it at the engine end and lubticated it with Wd 40 and let it soak into the cable for a while. I think the heat from the engine dries it out. I would try to lubricate it once more and hold the cable upwards for a while before connecting it again.
Thanks both Brian and Mikstur.
I did disconnect the ends when I lubricated it (it feels completely free when disconnected) but if you've both had complete success than it's definitely worth another try, as it certainly improved it the first time. The funnel idea is a neat one.
I did think though that oil based things like WD40 were not supposed to be used on cables because they get absorbed by the plastic lining over time and make it swell up and bind, so. I used silicone lubricant . Maybe are cable liners aren't affected this way and I should try oil based. Did you do yours a while ago ?
Bill