Lights for 24 hours or 3 hours on 8 days -- which is better?
One understanding of the Channukah miracle is that oil that should have lasted for 1 day lasted for eight and the famous question is "if it should have lasted for 1 day, then why is the miracle an 8 day celebration as only 7 of the days were miraculous" and to this there are many answers.
One which I saw in an email this morning explains one udnerstanding:
The Bais Yosef famously asks why we celebrate eight days rather than seven days of Chanukah and answers that they split the oil into eight portions. Each successive night they put in an eighth and it remained lit the entire evening. In total, the nes transpired eight days.
It then goes on to discuss how they could have expected that an eighth of the oil would last even on the first day -- were they improperly someich on a miracle's happening.
I'm wondering if their thinking was that there is value to being able to see some light on a number of days, or being able to relight the menorah as opposed to keeping it lit for only 1 full day.
Is there any sort of halachic priority established when confronted with a choice between "having a light for a full day" and "having some light on a number of days for a shorter period of time" or even "being able to light the menorah on any given day"?