writerstorm.com

Do submissions via Coverage Ink receive preferential treatment?

Nope. The exact same criteria apply, whether you enter the contest directly here at writerstorm.com or if you send the script along for coverage at Coverage Ink. In other words, if you think you'll have better odds in the contest by sending your script to CI for coverage, unh-unh.
However, you WILL better your odds if you get coverage from CI (or any solid script consultant,) polish your script and THEN submit it (or resubmit it) to the contest.