When will the driver for the ScanSnap ix500 be updated?

It appears Ricoh has acquired a chunk of the business related to Fujitsu scanners.

As for updates, the most recent updates for ScanSnap ix500 on macOS 13 Ventura are from January and March 2023, according to the following:

https://www.pfu.ricoh.com/global/scanners/scansnap/dl/mac-1300-ix500.html

They’re migrating apps according to that page, too.

But as mentioned in the replies above, hardware updates are from the hardware vendors.

That is not an Apple product - you need to ask Fujitsu support.

Ask the manufacturer

For decades & dozens of Scanners, VueScan has always come through...

https://www.hamrick.com/vuescan/fujitsu_scansnap_ix500.html