Beautiful job on this one-of-a-kind television. I can't wait to see a photo of the whole thing put together.
One caution about using silicone (in any form) around furniture: It can create serious problems with "fisheye" that might defeat any future attempts to refurb the lacquer finish on your television cabinet. Pledge and similar furniture polishes have been permanently banned from our house!
I understand that you mentioned using it on the chassis, not the cabinet, but silicone oil is invasive and pervasive. It can be transferred on fingers or a rag, as well as through the air.
Perhaps there's some other product that would work just as well on your chassis. Or, if you use it, at least keep that spray far away from your cabinet and wash hands thoroughly before touching the cabinet again.
Regards,
Phil Nelson
Phil's Old Radios
http://antiqueradio.org/index.html