Did Halloween—as Variety section writers would invariably have it—really originally mean 'Holy (or Hallowed) Evening'?

Short answer: no.

'Halloween' is an eroded form of 'All Hallow's Even'. ('Even' here = 'evening, eve.') 'Hallow' is a dialectal form of the Old English word that also became Modern English 'holy.' Anglo-Saxon hælig (pronounced, roughly, HAL-ee) was a fine old pagan word denoting something in a state of radical wholeness: a holy thing or person.

It's the latter usage that gave rise to 'Halloween.' After the Conversion, the word came to denote a 'saint,' a (Christian) holy person. So All Hallows' Eve originally meant 'All Saints' Eve,' the eve of the ecclesiastical feast of All Saints.

('Saint,' of course, was originally a French word from the Latin sanctus, both of which—like hallow in English—mean both 'holy' and 'saint.')

So when modern pagans who eschew 'Samhain' as too culturally specific refer to November Eve as 'Hallows' or 'Hallowmas,' they actually are drawing on an old pagan word after all.

But they're getting it via Christianity.