'a lot' depends on how much you had to begin with.

Not really, takes up a large wall in a residential detached single family home basement somewhere in the Midwest. Everything is relative.

Don’t even need that. If they’re packed in wine boxes they take up hardly any space.

You allowed to do that? You'd at least have to tip the box on its side if storing for a long time now? I'm no sommelier but I hear the cork needs to stay wet or they'll spoil.

The bottles I've received are in large boxes that hold ~20 bottles each, delivered via Fedex. Each box goes in a spot on industrial shelving, and is cataloged into an inventory system when received.

Interesting. Never heard of someone using an inventory system for the wine.

You haven't addressed what I asked though. Are you sitting the boxes upright? Do they have corks or are these cheapo screw cap bottles?