The concession or the lack of one is irrelevant.  The electoral vote and its subsequent counting by the Senate is what matters.  Look at the Presidential election of 1800.  

"the certificate of election from  Georgia was defective. While it was clear that the electors had cast their votes for Jefferson and Burr, the certificate did not take the constitutionally mandated form of a "List of all the Persons voted for, and of the Number of Votes for each".[9] Vice-President Jefferson, who was counting the votes in his role as President of the Senate, immediately counted the votes from Georgia as votes for Jefferson and Burr.[9] No objections were raised."

https://en.wikipedia.org/wiki/United_States_presidential_election,_1800