^This. I've been hearing why drones are replacing "everything tomorrow" for the past 20 years, and it hasn't happened. If anything, the digital environment has become less secure, and more prone to software issues.
I don't have a crystal ball, but I'd define "anytime soon" here as the next 10 years. My bigger point is, you'll be able to see it coming a long way off. It won't crush the industry overnight the way COVID-19 has.
The time, money, and effort it takes to develop and certify a clean sheet design or make substantial modifications to an existing design suggests minimum crew reduction for a heavy transport would take at least several years- AFTER a design is started. As
@FrankTheTank points out, that hasn't happened yet, at least not publicly. To single- or zero- pilot certify an existing design requires substantial modification and complete recertifying to the latest regs, making such modifications expensive and impractical. This is all also assuming the issues of AI, digital security, redundant safety, and public acceptance are all able to be addressed.
Look, drones are great. But piloted aircraft are not on the verge of being totally replaced. I also don't believe we'd want them to be.
If it gets to 2030 and large numbers of people with zero flight experience are happily riding around in autonomous aircraft, then I'll admit I was wrong. But I don't believe I am.