I had tubal ligation at 33 due to ectopic pregnancies (yes, both side, very unusual case) that almost costed me my life. Intersting that afetr the surgery, I've started growing hair on my legs and upper lip, that I did not have before. I think my peri symptoms started in middle 30s, I just did not pay attention to them: some anxiety, ocational night sweats, achiness. I too read that tubal ligation can cut off ovarian blood supply, but on a positive side can somehow lessen ovarian cancer risk. I had no choice at the time of surgery but it eliminated ned for BCP and fear of getting pregnant, so less anxiety in this department.
Also, I had bad migranes before tubal, and after they dissapeared, but could be coincidence. My periods did not change, they were regular until very recently. I am 49 now and have had some perimenopausal symptoms for the past few years (mostly digestive issues), and for the past year - more anxiety and achiness.
No one can tell for sure what is going on inside our bodies, some women go through early menopause even without tubal. I don't think 49 is too early , even I still have my periods (back to 28 days now) and no hot flushes. I also read that it's quite normal to have some hormonal fluctuation starting mid 30s, regardless of tubal.