It depends on how your symptoms affect your quality of life. AND how far into peri you are. It will change when your periods stop - you may have no symptoms are many more.
I've used HRT for years - over 15- and started because hourly flushes and insomnia were awful. I was very tired and work was difficult. I'm many years post meno now and when I've had a short break from HRT the symptoms are still there.
In all honesty if your symptoms were bad you would probably be on HRT now - you'd have reached the end of your tether!
What I mean is if your sleep was affected so much you weren't functioning day to day, and longer term a lack of sleep affects our immune systems , heart health, weight, and brain.
There is a difference between waking up once in the night and getting back to sleep , or having bad night sweats and insomnia so you're exhausted.
I agree that HRT protects the bones and heart BUT it's not licensed as prevention (except for women who already have some bone loss diagnosed with a DEXA scan, or with a family history of osteoporosis.)
So you can't 'demand it' for that without other symptoms.
I'd see how you go with it all.