The GP put me on continuous progesterone because my periods are now 49 days apart. When I was on cyclical progesterone it was not helping with sleep and because of the lengths of my cycle GP wondered if daily would help. She also prescribed Sertraline 50 mg which has helped a little alongside the HRT, but still have hormonal insomnia mid cycle and pre period and the specialist said it would maybe help if they suppressed my cycles.
There is so much difference in how doctors use HRT.
I appreciate your private GP has HRT training but they are offering you something very different to mine (consultant gynaecologist with decades of fertility experience as well as menopause) when I was at the stage you are now ( I was early 50s - as a comparison.)
When I was at the stage you are now, with periods once every 3 or 4 months, I was put onto a long cycle of 10 weeks estrogen only and 12 days progesterone. This is still acceptable for women in peri but sometimes they like to do a scan now and then to monitor the womb lining.
It's also a complete no-no (goes against NICE guidance) to offer SSRIs as well, for sleep etc . There is some evidence they stop HRT working so effectively.
You also need to question is Slynd at the daily dose for contraception gives enough endometrial protection. I was offered the POP as an option when I wanted to change from Norethisterone) but was told it needed to be used as 3 tablets daily for HRT. Maybe Slynd is stronger but you should ask. (I assumed you were using it with progesterone from your first post.)
Sleep was my biggest issue and in my mid 50s I went up to 3 pumps of gel.
It might suit you better to use 4 pumps- you're very young and often younger women need more- and to experiment with cyclical progesterone.
If you were to try a longer estrogen only cycle, you can isolate which part of HRT is helping and which is maybe not.
You could also consider the Mirena coil or a different type of progesterone such as Norethisterone or dydrogesterone (tablets.)