The shock will only make a small difference. My observation was a 1/4" putting hydraulic drag shocks up front on another vehicle owned. Now, I'm thinking if you rode around with a blown shock long enough, you might make the springs work harder to maintain ride height and weaken it a little. So, maybe that might end up at 1/2".
Do some googling. It's out there. I know these shocks take some ass to push in, been there. I can also go out and lift up the body on one corner out back a 1/4". It's the springs job to maintain ride height, but the compressed gas shocks do hold a small amount of load on their own. It could be a combination of a weak spring and blown shock. Just a possibility based on experience and reading other conversations.