Prob to late,
But, what Bedlam said,
Hibernian are the underwriters for Tesco. All Tecso do is sell you the policy, Hibernain look after everything from there on in.
Even when you call for Customer service you will be speaking with Hibernian agents, "G'Morning, Tesco Car Insurance, nonsequitir from Hibernian speaking."
Same with claims, you will be speaking and dealing with Hibernian staff.
So nothing really to worry about!
Only downside that I could see happening is that all your paper work, cert & disc etc would be a day later than normal.