Many different opinions here. I think most branded oils that are of the appropriate weight and meet Honda specified API standards are fine as long as you change your oil frequently (3500-5000 miles). I've used Castrol GTX in my 2002 with 170 k miles and oil changes every 5k and my last Blackstone oil report at 165 said the engine was running strong.
For the type of duty a minivan sees, I don't think synthetics offer a clear advantage over Dino oil to justify the cost difference.
For the type of duty a minivan sees, I don't think synthetics offer a clear advantage over Dino oil to justify the cost difference.