Thank you everyone for your input on this issue. Using a combination of the different suggestions offered, I was able to complete the project. So again, thank you guys.
I'm prefacing what I'm about to suggest with the fact that I am not a software developer, and it is very possible that I have no idea what I'm talking about. That said, I would greatly appreciate it if one of the Serif team's developers, or anyone who might know more than me about vector rendering could weigh in on this:
It seems to me that a potential reason for this issue occurring is that the side of an object that is touching the side of another object, is not occupying the exact same space as the side it is touching, but instead, is drawn directly next to it.
As an example: Lets say line Z is drawn on a grid from point (2, 0) to point (2, 8) and line W is drawn from point (3, 0) to point (3, 8). These lines are exactly adjacent to each other, but if anti-aliasing is involved, it might cause them to render with a very small, but visible space between them. However, if both line Z and W are drawn from the same point (2, 0) to point (2, 8), they would be occupying the same space and maybe the anti-aliasing wouldn't affect how they appear visually.
If this is the case, perhaps this functionality could apply whenever snapping is enabled and the green line appears when moving two objects together as shown in the attached image.
Cheers