Ask HN: GDPR for Deceased Persons

I am hosting a website for a funeral parlor. There's a part of the site dedicated to obituaries, where the names of the deceased are fully accessible. IANAL so I was wondering if it can be a problem regarding GPDR as the deceased clearly didn't give any consent, but won't complain (obviously). I'm not really concerned as I just host it (and all is encrypted on my side) and, to be honest, it's a small company very local. But yet, the question hit me so if someone as an answer, thanks.