WEBF in some sort of order -
1. No carrier with cats has ever been other than steam / nuclear powered. Mind you, the only carriers that haven't been steam or nuclear have been STOVL jobs, like CVS, the Spanish & Italian ships and the Thai one.
2. It won't be CODLAG, it'll be some sort of integrated electric system (acronym not yet invented!)
3. You're correct - amphib and carrier strike are closely linked. But, you can use a carrier without the need for the Amphibs. Basically, the capability argument is too difficult to get past the treasury, (let alone for the DEC & IPTs to understand).