This cannot be predicted from your information. In many cases, you get a higher OD after longer incubation time. In the case of the streptavidin-HRP conjugate, a small improvement in assay sensitivity (this is what you mean with a potentially higher OD?) may be observed. However, this has to be verified experimentally.
What you should also keep in mind is that a way longer incubation time with Strep-HRP usually results in a higher background and your blanks will give too high signals, which eventually not really ups your sensitivity.
If you aim for a higher sensitivity you should rather increase the incubation time of your target protein and/or your primary biotin antibody.
In my experience slightly increasing all the incubation times results in higher sensitivity and good ODs, rather than just extremely increasing only one.