Does Zhonya's save a unit in base from being killed, even though Zhonya's requires the unit to be recalled exhausted?

Ruling: Zhonya's protects units in base from being killed, even though the recall instruction cannot be followed. The owner chooses which unit to save if multiple units would be killed.

Sequence:

• When multiple units would be killed (one in base, one at battlefield), the owner chooses which unit Zhonya's saves
• The chosen unit is saved even if it's in base
• If the unit is in base, the recall instruction is ignored since it cannot be followed

Nuances:

• Instructions that can be partially followed are followed as much as possible and ignored otherwise, so the inability to recall a unit from base doesn't prevent Zhonya's from saving it