There's no room to point a tendency or a rule on this, but just as an exercise as well, i will take last 3 games as a sample. Since Game #1 of the doubleheader against Detroit, the Red Sox have scored 7 Rs, 4 of the them were HRs (57%) with ZERO extra-RBIs (besides those 4 RBIs by HRs), resulting in a Win (with a HR in the last Inning) and 2 losses (One of them scoreless), in fact, this offense have not had those amounts of ROBs/RISPs than previous games.
Applying your logic and exchanging those HRs for 8 doubles, the maximum Rs expectancy would be 24. If we are close to be a .300 BA team in May, the expectancy of Rs might be at least 7, instead of 4. Now, if you sum those 7 Rs to those 3 Rs which were not produced by HRs in the last 3 games , we were talking about 10 Rs produced, that might be traduced in at least another victory.
As you can see, if a team produce more by singles, doubles, triples, smallball game, moving the ROBs, etc. than pure power as last 3 games, in the long term you will have more chances to be a up .500 team.