The studies I’ve seen that say months or a small number of years specially look at older adult admissions, so may exclude a lot of dementia patients.
US study:
> The mean age of decedents was 83.3 (SD 9.0) and the majority were female (59.12%), and White (81.5%). Median and mean length of stay prior to death were 5 months (IQR 1-20) and 13.7 months (SD 18.4), respectively. Fifty-three percent died within 6 months of placement. Large differences in median length of stay were observed by gender (men, 3 months vs. women, 8 months) and net worth (highest quartile, 3 months vs. lowest quartile, 9 months) (all p<.001). These differences persisted after adjustment for age, sex, marital status, net worth, geographic region, and diagnosed chronic conditions (cancer, hypertension, diabetes, lung disease, heart disease, and stroke).