Hiya Janm ... I would suspect your doctor is saying your fibroids would most likely not grow back because they might be banking on an early menopause for you.
Also, I have to agree with the others that recovery would not be similar between a lap and an open myomectomy. I remember all too well what my first myo felt like ... that first incision really was the worst.
I do know a few ladies who have successfully become pregnant after myomectomies, and did not have problems. However one of them also had complications from becoming pregnant while she still had fibroids.
I didn't have any issues with abdominal strength. The actual ab muscles were not cut. After 6-8 weeks I was back to doing light workouts. Today I have greater core strength than I have ever had.
While I firmly believe I am a rarity in my ability to grow fibroids, most people I know personally had to have 2 myomectomies before they quit having problems with them. If you are prone to getting them, a pregnancy may accelerate their growth. Just something to keep in mind.
I will also comment that my last surgery was done because the CT scan showed a large ovarian cyst (I forget what kind ... but it was the kind that wasn't totally evil) When surgery was done it wasn't a cyst ... but another fibroid. Prior to surgery while the doctor and I still thought it was a large cyst, I was almost put to bedrest because my doctor knows I tend to push myself and have a high pain threshold. He was very concerned and watched me closely. We negotiated that I would not do anything but lay by the pool and work the remote. It was a serious situation. So yes, large cysts are definitely a concern.
Good luck in your research and discussions with your doctors. You are the only one who will be able to determine what is right your you.