What you are calling Home Rule is really Independence. Home Rule is usually meant to be a halfway house between rule from the centre and full independence.
Under Home Rule a Scottish Parliament would decide on things that concern just Scotland like education, transport, etc while Westminster would decide things that concern the whole of Britain like defence and foreign policy.
That sort of Home Rule is what the Irish were looking for in the late 19th/early 20th century, and it's what Scotland and Wales have got now - a limited ability to run your own affairs while remaining part of the Union. Not independence, and not total submission to Westminster.
You don't have to like Home Rule (or devolution or whatever else you want to call it), but it's not the same as independence