The only variables which are affected by campaign attribution are the campaign variables. The most popular campaign variable is Campaign hierarchy. Once Campaign Attribution has been implemented, this variable will start showing you a higher conversion rate for your campaigns.
Notice, however, that the traffic source variables are not affected by campaign attribution. Thus, for example, the variable Traffic source hierarchy will always be limited to those conversions which happen during the same visit as the campaign.
To illustrate the difference between the campaign variables and the traffic-source variables, consider the tables below. In the Campaign-hierarchy table the total number of conversions for Adwords, Email and Banner iadd up to 273+20+9 = 302. However, in the Traffic-source-hierarchy table, the total number of conversions for the Campaign category is only 154. This means that out of the total number of campaign conversions, 148 or 49% (i.e. (302-159)/302) happened in a later visit.