Well yes, if you hand your keys over that is indeed a problem. Of course handing your keys over to the provider rather defeats the purpose of E2EE so hopefully no one is doing that.
Key escrow is the usual solution to an employer needing access to employee materials.
Yes, obviously, but key (/account/identity/etc) management is typically a much narrower and well defined problem to solve and in many cases it will already have been solved (centralized management of user accounts, employee ID cards that contain physical tokens, and other such things).
And if those keys are stored by a company subject to US jurisdiction, we're back to the same problem.