Sure, but that's "how much security you're sacrificing to get the FHE goodness," and, as always in crypto systems, implementations might not be that good.
> A sort theoretical consolation prize if you can’t achieve the real thing
The real thing exists largely because it makes proofs easier. For something like FHE you can bolt on some extra user-space features to build something like IND-vCCA (your decryption oracle refuses to operate if the result was not obtained by executing the right algorithm on the right ciphertext), which may or may not make FHE suitable for this or that target application. It's not a weak property though.
