Hiya - Zoely is a mono phasic pill, so the same hormone dose every day. Qlaira has different amounts (slightly) throughout the cycle in order to mimic more of your natural cycle.
Both of them suppress ovulation which in my mind should override my cycle, as it's the hormones in the latter half of the month following ovulation that I struggle so badly with. I know that they (or any Pill that suppresses ovulation) is the first line treatment for PMDD, PMS, hormonal imbalances etc. so I am hoping that the suppression of ovulation will override my natural cycle - but I am by no means an expert in any of this and this is purely what I've pieced together myself from reading a load of medical papers. I'm sure other people know better than me!
Yes, the Estrogen in it is Estriadol instead of the synthetic estrogen in other Pills. The progesterone in both of them is still synthetic though.
One thing to add to my comments below - I realised this afternoon that I do have one side effect from Zoely - my boobs are definitely bigger and more swollen/tender than they normally would be at this point in my cycle (pre ovulation). Nowhere near as bad as when I had terrible Estrogen dominance, just noticeable when I take my bra off. So perhaps the dip I've experienced over the last couple of days is due to my hormones getting used to Zoely after all. I know I need to give it 2-3 months before I can assess if it's helped at all.