While the issue is complex abuse is wrong no matter the setting or the circumstances so all for charging those that engage in abuse but you are right to broad a brush and no solutions
Abuse is wrong without a doubt but the notion of "throwing away" an elderly relative by putting them in a care home is unhelpful at best. If the elderly person doesn't want to be in a care home their desire has to be considered, although a thread like this does little to invite discussion regarding what should happen when an elderly person clearly can't care for themselves any more but has yet to accept that reality.
I personally know a man who is pushing 90 and has lived in a care home for a few years now. He finally accepted he needed to be there during a doctor's visit made for him by a family member. The doctor was asking him some basic questions to figure out how many of his faculties were still working as they should. One of the questions involved how much change he should expect - something about as complex as "if you buy $4 of stuff and pay with a $10, how much change do you get back?". The guy could do this one easily, the answer was $15. At least it was in his mind.
Another potential situation relates to people who have tried to care for an elderly relative but simply can't cope with it any more. It's a nice easy option to demonise such people for "throwing away" their elderly relatives but unless you're willing to provide 24x7x365 support to someone with dementia sufficiently advanced that they might turn the stove on to cook something, then go out in the middle of the night wearing only their nightclothes, with incontinence sufficiently advanced they routinely soil themselves and need to be cleaned Right Now, or even with a less serious condition paired with what might be called "old person crankiness" such that they insist on watching the same TV station all the time with the volume turned right up, you don't get to demonise them at all. If you've tried to explain to an aging relative how important it is that they take their medication, if you've taken the time to put all the pills they need to take into nice neat boxed marked by day and time of day so all they have to do is open the right box and take the pills inside the box, only to then find they haven't been taking their medication or they've taken the wrong ones at the wrong times, if you've called them three times every day to make sure they took the right medication only to later find they still took the wrong things, if you've effectively put your entire life on hold because you have to check in on your elderly relative multiple times daily to make sure they haven't done something that might literally burn the house down around them, maybe then you get to make snide comments about people who decide that a care home is the best option for their aging relative.
To be clear, I haven't personally had to deal with the above but know people who have, and seen them run ragged trying to keep up with impossible requirements.