I think this would only encourage the feeling of entitlement which many (but not all) young people have.
Some time ago I was listening to a radio programme when a student came on and said, quite seriously, that all us oldies living in large houses should sell them and GIVE the money to students so they would not end their university years with a large debt. This, of course, is a more extreme version of Harriet Harmons idea that we should be taxed out of our homes in order for young families to move in - here's an idea, why don't young people limit the size of their families?
I would be willing to give up this years Winter Fuel Allowance if it was to go to an older person who was struggling with fuel bills. I am planning to be out of the country visiting family in warmer climes this winter so I won't need it as such, although I have just paid an arm and a leg to fill my oil tank which does all my heating, hot water and cooking!