I don't work in a long-term care facility (I do acute geriatric psychiatric care), but I do work next door to one. We're non-profit so we don't exactly fit the mold, but understaffing isn't something that we are aiming for. We're offering incredible hiring bonuses, reaching out on every single avenue. Our problem is retention - we can get a few people hired, but maybe 1/5 CNAs stay, and 1/4 of the nurses. The long term care center probably has slightly better ratios, but most people don't have the ability to compartmentalize or the resiliency to last in the chronically understaffed units. You end up doing the work of 3 people with people who at best are demanding and at worst are physically attacking you and others.
Additionally, even for a CNA, training takes months and months. We get them out on the floor as soon as possible now, which isn't helping with out retention, but reflects the reality that our residents need care. Most of us are pulling 80+ hour weeks just to meet the federally mandated minimum staffing for how many residents we have at a given moment.