Read the sticky on the YYE spin top forum, 'getting started with spin tops', it explains some string length issues.
Your top being sideways could be the string length if it is consistently hitting the same way, or it could be your release.
So... yes, they may or may not be related.
The string I am using on my Short Circuit is a few inches shorter than the sting that came with the top, which is 64" but the string I am using is a little thicker, so it actually comes up a tiny bit higher on the top when it is wound up. The 64" string works well though, yours might have come with a shorter string.
You can learn more about spin tops at your local library, or attend your neighborhood yo-yo club!