Up until 2020 it was open every year with hundreds of thousands of profiles submitted. With Covid, IRCC decided to only pick from 2020 and has been doing that every year since then. LICO for 2022 for 4 people is $64k and LICO for 2023 is not yet announced. LICO must be met consecutively so if you don’t meet it one year, the three years starts again. So if you didn’t meet LICO in 2027 and it opens in 2028, you would not be eligible.
Your sister would not be eligible in a couple of years. Your parents also have to pass the medical. This is a big decision and many people when they move to Canada just assume parents can move with them very quickly. That is not the case. If you meet LICO then they can apply for supervisas (pass medical, one year health insurance) and stay up to 10 years. They cannot work or access provincial healthcare/social services.
Let us say that I met the LICO and was able to "Show Interest". Do I still need to meet the LICO the 3 years prior to getting invited or that would not matter? Also why does the Canadian Government announce the LICO when no one even has the option to "Show Interest"?
Is there any other options in which I can bring my parents or sister? This option does not seem very appealing