I ran into this issue when using original spec 6L6G in a Williamson amp. The grid bias had to be increased so the combined anode and screen dissipation when strapped as a triode was no higher than 21.5W. Also gave reduced power output.
6L6GC has a higher anode and screen power rating of 30W and 5W respectively. It also has a higher anode and screen voltage rating which is comparable to KT66. Suitability depends on circuit configuration. Compare RCA data for 6L6/6L6G and 6L6GC.
https://frank.pocnet.net/sheets/049/6/6L6GC.pdf
https://frank.pocnet.net/sheets/049/6/6L6.pdf
I have had the misfortune to buy a batch valves marked 6L6GC only for them to fail prematurely. Most likely remarked 6L6GT.
Rich