Going back to the original question, most trans folks do not have surgery. It's personal choice. As several other girls alluded to, it depends on how much dysphoria your male bits cause you. I am overall pretty happy to be me except when dealing with that so yea, I'm totally SRS bound.
The Washington Post did a writeup on the general topic
https://www.washingtonpost.com/news/to-your-health/wp/2015/02/09/heres-how-sex-reassignment-surgery-works/ and they cite Dr Bowers as saying "two of the 1,300 people she has operated on have wanted to go back to their old bodies"
With respect to suicide rates, surgeries help align body with mind but there is still a lot of stress due to being trans and going through this. The strain on family, friends, etc is huge. Many are also sadly stressed if they do not pass in their own eyes. Thus said, the suicide rate is understandably higher than the national norm.
http://www.transadvocate.com/fact-check-study-shows-transition-makes-trans-people-suicidal_n_15483.htm
There was a recent writeup that living where you are forced to use the bathroom that matches the birth assigned gender raises the suicide rate from ~42% to near 60%. I got lazy and didn't look it up. It's recent though if you want to see it.
Long story short, if you need to do SRS then you need it. Most don't get it for one reason or another. It isn't a panacea for all ills but for many it is a huge weight off of their backs. For me, it's a matter of being and living where I should be. I do not identify as trans. I identify as woman. For me, this is needed.
