I would follow the advice of miniman82 and at least replace the power supply electrolytics and HOT coupling cap.
Those electrolytics are mounted above a narrow channel in the chassis, so there is not much room to install new ones underneath, although I managed that with one of my CTC-11s. For my other CTC-11 and the CTC-7, I restuffed the cans. You can read about that in my articles about those sets.
Protecting your power transformer and flyback is definitely worthwhile. When I opened the cans on my CTC-7, two looked pretty fresh and might have worked, at least for a while. A third was dried toast inside, possibly with a dead short that would have killed the power transformer if I had "just plugged it in."
Better safe than sorry . . . .
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html