and how would this affect the fall campaign?
It could lead to maybe Chafee's supporters of liberal and some moderates in the mix could possibly go and support the Democrats candidate and might through the presidency to the Democrats in 04'.
the way I see it, it would only have mattered if Chafee himself had endorsed Kerry, and even then it probably wouldn't have mattered enough to make a difference in any crucial states. Remember that Chafee himself wasn't especially popular with the Republican party, not even in Rhode Island.