You cannot cure PCOS, nor is PCOS simply 'hormonal imbalance' - that is not a medical term, your hormones in non-PCOS patients and PCOS patients are meant to be imbalanced. They fall and rise in response to changes in the body e.g insulin being released when you eat or FSH being released when you have your period to stimulate a follicile to grow, or T3+T4 being released when your body temp drops to increase heat production and metabolism.
PCOS is medically defined as hormonal deregulation - a different thing, so it is not using the hormones it has (which are in the right amounts) properly. So insulin resistance is common in PCOS because your body procedures insulin but doesn't respond to it correctly, the same for androgens etc. PCOS is more about bio-chemistry and genetics which you cannot fix, lifestyle changes, hormonal meds etc can help to managae it and get your body to regulate and respond and flucatate hormones properly. You need to fight bio-chemistry with bio-chemistry; meds.
The pill is there to protect you, to treat the symptoms, it treats PCOS, if anything it is the best for the PCOS, that is the point. It is a treatment for acne, it treates heavy periods, missed periods, irregular periods, it treats hirsutism, it treats the risk of uterine cancer. Saying that it 'masks' PCOS is like saying 1. PCOS symptoms are normal, which they are not, and like insulin masks diabetes.
The pill is not a diagnostic tool, when you already have a diagnosis, the condition can be further managed, with things for insulin resistance, hair excessive growth or hair thinning. It can be managed but not cured - managed with interdisciplinary care of endocrinologist, dietitians, gynaecologists etc.
Now there are other things apart from contraception that can help in PCOS management not curing it, so something like inositol (naturally made in your kidneys), PCOS patients have an improper balance of inositols but non-PCOS patients have a balance of 40:1, of myo-inositol v dechiro-inositol. So taking something like inositol alongside the pill, meds for hair growth, metformin etc you can bring your inositol levels back into the range of non-PCOS patients. It increases chances of helping with levels of testosterone, glucose control etc. Try and find the one with the 40:1 ratio. However I should say this has not been completely proven as a link, the evidence so far is positive, but not conclusive enough to be necessary for a PCOS patient, it can have a side effect of heavy periods in some people so is not right for everyone but you can try it as it can help.
Oestrogen is a natural hormone, it is not 'toxic' and linked to cancer only when it is not regulated by progesterone. Oestrogen in a menstrual cycle, when your period is over it is released to build the uterine lining back up, progesterone near to ovulation is released and suppresses oestrogen to be released. That means that the uterine lining does not get too thick - known as hyperplasia which over time can lead to more cancer cells etc. The issue with PCOS is when you are not having a period regularly or ovulating then the uterus lining every month is not being shed, so it builds up that is why PCOS has a 2-5x higher rate of uterine cancer, and many women from their 30s, 40s etc with PCOS are being diagnosed with that.
UK summary found that PCOS patients had a 3x endometrial cancer risk. https://www.cancerresearchuk.org/health-professional/cancer-statistics/statistics-by-cancer-type/uterine-cancer/risk-factors
A large Taiwanese study found a hazard ratio of around 17 for getting endometrial cancer in women with PCOS vs without. https://journals.lww.com/md-journal/fulltext/2018/09280/association_between_polycystic_ovarian_syndrome.98.aspx
But with some form of progesterone, not having a period is not the same because that happens because it thins your uterus lining and so it is quite thin, that there is not much or anything really to shed, but in that case your uterus is protected from hyperplasia and thus uterine cancer.
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Depending on your issues, you could ask your GP to refer you to see an an endocrinologist, and a dietitian as well. But you should also ask for the bloods I mentioned earlier because then they can see how your PCOS is progressing, whether your risk of diabetes is increasing, you have worsened insulin resistance, how your androgens are being managed etc - from there you can make a plan about what referrals you need with your GP.