Mr Davies argued this was equivalent to notifying the public of its existence, but fell short of endorsing it.
But the appellant could not dispute Westminster Magistrates’ ruling that her songs were grossly offensive, which was ruled a finding of fact.
On Thursday, Mr Justice Coulson and Mrs Justice Cheema-Grubb denied Ms Chabloz’s application for a judicial review of her conviction at the Royal Courts of Justice, in central London.
Ms Chabloz was convicted in 2018 for writing, performing and publishing songs which mocked Jews and the Holocaust.
The charges related to songs titled Nemo’s Antisemitic Universe, I Like It How It Is, performed at the right-wing London Forum in 2016, and a third, titled (((survivors))).
The 55-year-old was briefly sent to HMP New Hall in September, after violating the terms of her sentence by continuing to post on her blog.
She is also currently banned from entering France, where Holocaust denial is illegal, until 2059.
