Unless you're really unlucky and somebody finds your stash during that 10 minutes
In a week
And, as I said, it was Hub... You can put your stash at any dead town, where's alot walls, crates, shelves, etc. You can even put in NCR, because nobody will seek stashes there.
Btw, the best way to steal alt-to-main stashes is... watch Town Preview all the time ^_^ If you see bluesuiter with name <Someone's Name>-SG, or SG-Droid, SG-Slave, Armorer, Smith, etc. just watch in what direction he run, and then start look every container and every wall/room, may be you can find something.