Wouldn't surprise me at all.
There's a fair few stories similar to that, particularly from the older days when the studios were all-powerful. Any big name death seemed to have the studio gofers there before the police arrived. For example, Paul Bern's death scene to protect Jean Harlow, and a few others in the 1920s and 1930s. Quite a few deaths open to speculation too, such as George Reeves'.
You don't even have to go that far back, rumours went around that when Heath Ledger was found the masseuse phoned Mary Kate Olsen three times, rather than phone an ambulance, MKO then sent her security team to the apartment, only then were the paramedics called, 30 minutes later. Hollywood is a cesspit when money and reputation comes before doing the right thing.
https://www.distractify.com/p/heath-ledger-mary-kate-olsen
from the above link:
"According to numerous reports, after the masseuse entered the actor's apartment and found Heath unresponsive, she did not immediately call paramedics, but instead phoned Mary-Kate three times. Mary-Kate did not reportedly call 9-1-1 but sent her personal New York security guard to the apartment. Nearly 30 minutes after the masseuse entered the apartment, she called paramedics. After law enforcement officials found drugs in the apartment, the Drug Enforcement Administration (DEA) asked to speak with Mary-Kate. However, she reportedly refused to answer any questions without immunity."