I can attest that it is a huge positive at least it was for us. If a child continues to hold infection in their tonsils it will be a constant battle with their immune system. Tonsils are made to hold the infection however if it is constant it can cause a lot of problems for a child.
My daughter had the same issues, constantly getting sick from 1 1/2 to 2 1/2, tonsils held the infection so it was hard to fight anything else off. She never had strep but had swollen glands ongoing and got every little thing.
So they finally decided to have her tonsils and adnoids out at almost 3 years of age. It was scary from the standpoint of surgery on your little one, however it was a miracle for her. I talked to her about it beforehand, we visited the OR where she would have surgery, she met the staff there, we walked her through how the surgery process would go, they let me stay in until she was asleep and there right when she woke up, she took a stuffed friend with her and it was really not a big deal.
Her ENT said her tonsils were HUGE and adnoids were HUGE especially for such a petite little girl. Her sleeping imporoved tenfold (she had suffered some sleep apnea prior) she was so healthy and I can honestly say she is now seven and in the second grade and missed two days last year of school and only one this year (and she wasn't really that ill). She is healthier, sleeps better and seems so much better off. I am on the fence now as my son has huge tonsils, had strep only once but seems to have sleep apnea issues and I am going to consult over the summer with an ENT to see if he will just grow into his huge tonsils. He has had his adnoids out and that helped him some but still on the fence. I would rather by far have them out young then later.
I suffered through my childhood with strep, tonsilitiis and my mom didn't have mine removed until I was 18 and it was HORRIBLE! Kids young can bounce back so much easier.
My daughter stayed overnight make sure you can do that and sleep on a cot in the room with him. Those first 24 hours are huge and getting a nurse to help monitor him is the best. Then after that it is about keeping them comfortable, hydrated and by day four my daughter was asking for foods and by day five she was herself again.
When I was 18 it took me three weeks to recover!
Sorry for the drawn out post reply however I am a huge advocate if the child continues to get sick, the tonsils are enlarged constantly that they really will be so much better off.