This isn't a rumour; rather it's speculation on Garrioch's part. He thinks the Stars could be interested in Iginla given that the Stars have a new owner and Iginla has ties to him. Otherwise, there isn't a single piece of evidence that suggests the Stars are interested in acquiring Iginla; this is just typical Garrioch speculation.
Consider the source. Bruce Garrioch. That should be all the information you need to determine this is just Bruce dishing up his usual crap to keep his job. If any other sports reporter put out this many unfounded rumors they would be looking for a new job.