Not just an issue for stars i can think of quite a few times in the campaign i am in, a dozen or so "press" drones arrived to investigate "gunfire" which our runners would really prefer not take all that footage of.

However i would say that drone countermeaseures are fairly effective, in the right hands. And if the a person wishs to ensure privacy though legitamate means they have several options.

1) Avoid the outdoors or airspace deemed public any drones entering a private airsapce can be dealt with via less that subtle means for security violations ( methods vary from aa weaponry, or monofilimiant netting to cheap kamakaze drones)

2) Hire rigger bodyguards to keep target specific countermeasures going like fuzzing sensorfeeds. Blanket ecm tends to be frowned upon because of the number of legitmate electronics in the world of shadowrun. Security companys don't appreciate it when you jamm the banks security system across the street from your movies stars favorite bar just because you don't like the press

3) Old fashion methods like masks , umbrellas , bodyguards blocking decent acess

4) My personal favorite in the shadowrun world EXCLUSIVITY CONTRACTS, simply sign a contract with one company and sic lawyers on anyone trying to obtain non sanctioned footage. Yes a cease and desist order can be very very effective under the right circumstances ;)