I have a divided view on this and it is best illustrated by my (and my mother's!) thoughts on Mum's jewellery. Most of her jewellery is entirely hers (by which I mean gifts from Dad, from her parents etc) but some is inherited (having been passed down through several generations).
I really do feel that Mum holds the inherited stuff in trust, as did her mother before her etc etc, and that in the future, many years hence I hope, that will be the case with me. Obviously in extremis it would have to go as it won't feed you or keep you warm, but until that situation arises, I don't feel it belongs to mum, more that she has the use of it in her lifetime. She shares this opinion.
The stuff that is entirely hers - flog it, leave it to a mate, be buried in it - nothing to do with me.
Yes I know it may all go on care home fees or carers or what have you, or that their pensions are screwed over and so there is nothing left etc, so nothing is guaranteed. Or I become an utter bitch and mum disinherits me and passes it to a cousin etc...
Others may disagree, but I don't think the above is actually an entitled view. Everything my parents have earnt is nothing to do with me, and while obviously it would be nice in the future to come into some money, it's not something to expect. Things they inherited, I feel should be left to be inherited by future generations of the family.
(Before someone accuses me of stealth or unstealthy boasting, we aren't talking lots here, just a few pieces here and there that come from being a family of hoarders...)