I just tested it, and it is definitely a better opening to pick up Loren and Juno on the way to Imogens barrow.
By doing so, I was able to get 2 of 4 successful hunts on day 1 and still have enough stamina to prepare 30 of 37 raw meat when I got back.
By getting more hunts per day, you practically get a stable income from day 1, and you also get double amount of chances to increase survival skill and stealth.
I have also made the observation that you seem to get less bounty for each successful hunt in Imogens barrow, but still better option to go for Imogens barrow early.