Thanks @GiledPallaeon; I must apologise in advance for my inability to devote sufficient time to provide an equally exhaustive response.
As you rightly point out, improvement in UCAVs are unlikely to fundamentally alter the nature of CVs, which may become better at their current mission but will not gain any new operational capabilities. However, my point was that the same does not hold true at all for smaller ships. In the short term, STOBAR platforms just got good. And as you get smaller, things get even better: simply compare the potential impact of fixed-wing UCAVs on a Mistral's mission versus, say, that of a Juan Carlos (or any American-type AAS for that matter). In the medium term, ship types which could never hope to launch and recover even STOVLs will be perfectly able to operate UCAVs of various sizes (and payloads). Indeed, that's precisely the purpose of Tern.
But again, this hinges almost entirely on the matter of airspace dominance. Being able to launch and recover strike or CAS aircraft from small, cheap-to-operate platforms doesn't help if they get shot down by enemy fighters the minute they enter the area of operations. And that is the role in which I think CVs will be hardest to replace.