Well:
Your post is a bit ambiguous. As the sentence is written, one can take several meanings.
If you meant "it is very possible [that] UConn lost the best player in the country playing the most important position" that would be a true statement. and I would agree that it is very possible.
If you meant "it is very possible that South Carolina [could run the the SEC but] UConn [cannot because it] lost the best player in the country playing the most important position" that would create room for two arguments. First, one could argue that Boston is the best player in the country. Second, one could argue that post is the most important position.
Nevertheless, I did not create this thread to argue or to talk about SCar and Boston.
To the original question: Yes, I think UConn can run the Big East table.