That's already the case with most corporate managed BYO device policies. The typical scenario is that an employer gives you the choice:

1. Use the company-owned and company-managed device. No root/admin access, no privileges to install unauthorized software, sometimes policies against personal accounts or files or use.
2. Bring your own device, but consent to the company's IT department managing your security and potentially monitoring your use. If you're going to connect this device to the company's LAN (through wifi or VPN or otherwise), you're going to let us lock it down.

It's a legitimate concern that these types of things would normalize corporate-managed devices in our personal lives as consumers, and worth resisting in that space, but I don't think it would actually change the status quo in the corporate world to go from proprietary device management lockdowns to some kind of public standard for lockdowns.