Yeah. Sometimes they're owned by the owners, sometimes they're just happy to let them chill there each day because they keep pests and rodents away.
To be fair, lots of places have shop cats like that, especially in hot places where the cats use the shops and stall awnings to chill in the shade. I've been to towns in Turkey and Spain for example that have statues to infamous or long standing shop cats.
Beaker should be an Iranian nuclear scientist. He'd be unassinatable.