It requires voters not voter for a player to make his way to the HOF. Therefore the more issues you can pile up on one side of the scales or the other, the more or less likely a player makes it. Unfortunately negative issues tend to garner more "group support" than positive issues which tend to be more individual as they impact voters. Add to that, periods of baseball history that present as loaded with candidates for the HOF vs those that are not so defined. IMO, the PED controversy combined with the DH issue are two big issues that will capture and have a hold on a number of the HOF voters and it will make it difficult for Ortiz to get there, certainly to get there quickly.
I don't think any of that will be nearly as relevant if at all to an effort to get Ortiz up on Fenway's wall. However not being up on Fenway's wall will add fuel to those arguing that he should not get to the HOF as frivolous as the Wall argument vs Hall argument is in fact. This is a political discussion, not a baseball discussion.