He should have sent a car for the Speaker to come to the White House to avoid confusion and concern with who was legally in charge.
That's really grasping at straws to cover your tracks and is completely ridiculous! NO ONE's position or authority changed! There
was no succession. Reagan didn't transfer his authority to anyone ["should the president decide he wants to transfer the helm
to the vice president, he will do so. He has not done that"—Haig].
Instead, he claimed he was in control,
Secretary of State Haig was the
highest ranking executive branch officer available to manage the White House Crisis Team until VP Bush returned to the White House. [..."pending return of the vice president and in close touch with him. If something came up, I would check with him, of course."—Haig]
which sounds like being in charge to most people..
You hear only the parts that you want to hear. Thankfully, you're not "most people".