I don't think that the older generation "hates" youth, I don't think they think about them at all really. In the conversations I've had with Boomers and older people, although there is the standard derision for youth that is stereotypically expected of older generations, I would say there is more an immense blindspot and unwillingness to consider even a slight sacrifice of any type, even for their own children. The expectation is that the youth will just have to work hard like they did in there day and a complete unwillingness to confront any sort of conversation about what hard work could buy in their day vs the present one. I've watched boomers talk to each other about their kids or grandkids being unable to buy a home amongst each and other and I would describe the overall vibe as being one of detached "oh well, sucks for them" type acceptance, and trying to console each other that their kids are doing fine in other ways (they buy a new iphone every other year!!!). Your comment actually mirrors a lot of their attitude, especially the part about how the youth of today would definitely do the same things, so why feel guilty about doing it, a hypothesis that has no way of being disproved and which exists largely as a balm to soothe their conscience as they try to deal with the cognitive dissonance of watching their children suffer, and then voting for parties and policies that will prolong that suffering.
You wouldn't imagine any young person doing something to help another person out in some sort of solidarity and yet I generally see this exact mindset in terms of voting for left wing parties that will raise taxes, including theirs, voting and campaigning for increased density which will affect the character of their neighborhoods and possibly decrease their property values. Hell I have never voted for a party that would decrease my taxes and I am pretty up front about needing to be taxed more as I am very fortunate with my employment and income situation. I've had conversations at length with boomers advocating for tax cuts which would cut funding to education, arguing that it is pretty convenient that they want these cuts right around the time that they have no children in public school and asked if we should also cut medical funding, funding that they disproportionately draw on and the response has been universally "No", that funding is good and necessary.
So I don't think that they young are "especially targeted" and more that anyone who is not a boomer and up is targeted and that happens to include the youth. We can tell ourselves a bunch of stories but stats around home ownership, lifespan, healthspan, median income, etc, etc, etc, a laundry list tells the actual story of what the current relationship is like between generations. You don't have to hate someone to harm them greatly...