Of course it's absurd, especially in our age of instant communication capabilities.
New Jersey also adheres to this, while Alabama mandates that if Governor is outside of her or his state for around 20 days (can't remember the exact number), Lt. Governor becomes Acting Governor.
Interestingly whenever President of Brazil is out of country, VP (or the next person in the line of succession) becomes Acting President, even when the President is engaged in high level diplomatic talks abroad, which, I think, could present a legal and political problem.
True in Uruguay as well.