In MN LTC plans cover skilled care, Intermediate care and custodial care, all of which can simply be related to either old age or an injury or illness of some kind. At minimum LTC covers care/housing in nursing homes, assisted living places, home health care and adult day care. A person has to not be able to do 2 of the the 6 daily living activities alone-bathing, dressing, eating, toileting, transferring, continence. If you can't bath or get out of bed unassisted, you qualify for benefits under the LTC plan. That care can be in your home or one of the other places mentioned above. LTC coverage is LESS strict then government qualifying programs. With medicaid one qualification aspect is meeting state/federal impoverished guidelines-which most middle class people would never meet yet can't afford a nursing home on their own-or even an assisted living place. You also have to prove a permanent disability (including disease--alzheimer's for example).
Most insurance companies in MN sell LTC plans. These are the plan MN's would be required to buy. Most offer many levels of service, care, premiums, etc. just like any other kind of insurance. I think plans have changed quite a bit since you have worked in the industry or the coverage in MN is different because you seem to think these plans are different then they are. There won't be one state plan. It will be like car insurance, you are required to have it but you buy what you want from whom you want with in state minimums of course.