Everyone I know has switched to Zoom. It's a clear improvement in a technical sense than all the existing options out there. We're trying to do our jobs, not make a statement and end up embarrassing ourselves professionally.
So no Zoom does not have to clean up its privacy act. Other companies need to improve their software on a technical level to be more reliable and be more optimized. It's ridiculous that companies who supposedly have amazing developers like Google, Slack, Microsoft, Facebook, can't even do teleconferencing well.
PS: You don't have to download a program -- it has an online version.