Running Alby hub is running a full lightning node so you are in full control of your funds.

As for the point of alby hub specifically it is easy to use and integrates very well with nostr apps through NWC.

From the any hub website:
"Alby Hub is a new open source, self-custodial lightning wallet by Alby allowing users to run their own node and easily connect to dozens of apps. Hub features a one-click install lightning node, a self-custodial wallet, and an easy-to-use app store, which enables users to connect social media apps such as Damus or Stacker News, Podcasting 2.0 apps and external lightning wallets directly to their own Alby Hub node via NWC integration, all set up in just a few clicks."
https://albyhub.com/