One thing people don't usually mention alongside high cost of nursing homes, is that it seems to be pretty well bounded in time: see for example, https://www.geripal.org/2010/08/length-of-stay-in-nursing-ho...

I had very similar figures (avg 18 months), although unofficial, from a person involved with nursing homes over here (western european well developed country with good medical system), although I obviously cannot cite.

So yes, please visit them as soon as you can after admission, don't put away...

Are nursing homes even prevalent in other countries? When I visited Thailand they were appalled at idea of putting elderly relatives in a random building and not with family, but I don't know if they are the exception or the US is