Can Wearing a Tighter Headband Following Otoplasty (Ear Pinning) Affect Cosmetic Results?

I've been wearing a soft, wide headband as instructed following otoplasty procedure (having had dressings removed). I was told it needn't be too tight and was just supposed to gently hold the ears down. I noticed that my ears seem further back when I first take it off and they seem to move forward a bit after say 20-30 minutes (removed to shower/wash hair). Would a tighter headband help keep the ears back more and affect the final results, or would it not really have bearing? Thank you!