Cloud computing means running software on infrastructure somebody else operates, reached over the internet, rather than on servers you buy and maintain. For a screen network it changes who is responsible for uptime, backups and upgrades, usually to the party better equipped for it.
The practical benefit is that adding a hundred screens does not mean specifying a server. Capacity, updates and disaster recovery become someone else's operational problem, and the cost moves from a purchase to a subscription, a real change for finance, not just IT.
The caveat is that cloud and connectivity are different promises, and signage lives at the point where that matters. A cloud-managed network still needs players that keep playing when the internet does not: shops lose connectivity, sites open before their lines are provisioned, and a screen that shows an error page during an outage is worse than one showing yesterday's loop. Ask what the device does offline, not just where the management lives.
Second, ask where the data actually sits. "Cloud" is not a location, and KVKK-covered personal data has residency requirements that a generic answer does not satisfy.