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FWIW if you double your cycle load and don't "eat back" the extra cycling, you are using more calories on exercise.
So your body can then react by dropping more fat (it most likely won't gain muscle anymore if you are not super new to cycling) OR slowing down processes as you are annoying it and there will be no more fat loss and no more body composition changes, it just finds a new balance.
In that case, a "reverse diet" where you very carefully ramp up calories until you maintain LBM (your weight may go up a little due to carb stores) may be what you need for a bit.
Then you can re-calculate and go down again. If you have been dieting for more than a few months, that could be the way to go.
Tricky as i don't measure, but unseasonably Ive doubled my cycling load in Jan/ Feb and a recent FTP test puts me where I was at end of autumn so fitness is perfect.