Well, you're right; hemangiomas are tumors, they're just benign and generally go away on their own.
We saw three different specialists for my daughter's lip hemangioma, and pretty much got three different opinions. Be prepared for that, and if you're not satisfied with their recommendation, definitely see someone else. Our pediatrician didn't know what to do about it, local dermatologist prescribed a topical antibiotic for her ulceration (which was NOT infected), facial surgeon recommended re-evaluation in a few months or laser if the ulceration returned, and pediatric dermatologist recommended propranolol.
Definitely do your research about treatment options so you'll know what you're open to when you hear their opinions. I was not open to using oral steroids, but I was interested in finding out if Maysie was a candidate for propranolol, so we drove two hours for an appointment with a specialist with propranolol experience. Good luck!