Jay is currently the starter for a number for reasons.
#1) He's a 4-year incumbant
#2) It would be unfair to A.J. Feeley, a first-time starter who is also new to the team and the offense, to automatically place him in the catbird seat. It sets him up to fail. It's better to let him win the job outright than make him defend it against the man who has held it for four years.
#3) They're showing respect by letting Jay fight for and defend his starting job. It's been made clear that his job is up for grabs. And Jay has no problem with competing for it.
Nothing to worry about here IMO. If the competition is anything near close, A.J. gets the job.