Except that the kind of people who are going to come at STAR Labs are the kind of people who, through tech, powers, sorcery, social engineering, or just planning, can just openly laugh at normal high-end security measures.
Honestly, I'd say his standards aren't high enough, considering the League's been using these places as a dumping ground for every pauldron, statuette, and apocalyptic alien plague they've ever bumped into.
If they actually had R&D as their primary goal, I could kind of see them skimping a bit on security - and then demand they up their game.
Unfortunately, their actual goal seems to be sitting atop heaps of unanalyzed, untested schizotech like a dragon with his gold, complete with never using it for any constructive purpose. As I stated earlier, they should be reclassified as a neutral containment company and restructure accordingly, in which case they also need to up their game.
Really, they just need to up their game in general.