There are many issues here:
1) Some people believe twiligtht is safer.
This is not necessarily the case.
2) Some believe it is less expensive
Only if your surgeon is the anesthesiologist and do you want him or her to worry about the heart rate, oxygenation, and blood pressure while giving you anesthesia or do you want him/her to focus on your surgery
3) Is your implant under or over the muscle.
If under the muscle, it may be difficult to adequately anesthetise the area especially while inflating the implant and stretching the muscle. This may involve injecting close to the ribs.
If the implant is to be placed over the muscle, it is possible to deliver local anesthetic under IV sedations
4) In any instance make sure you have a certified anesthesiologist delvier your anesthesia
The risks of twilight essentially include nearly all the same risks as a general anesthetic.

