Your ability to manage the parts of your case you are responsible for under a limited scope retainer is a key factor in your success throughout your case.
If you do not meet procedural and substantive requirements for moving your file forward or cannot present your interests in the best possible light, then a limited scope retainer may not achieve the result you are seeking.
However, if you are able to do so, then your chances of getting the result you want under a limited scope retainer will likely be comparable to a general retainer.