Epson's last Scan 2 software was released in Fall 2021 (a year prior to Ventura) and has not been updated since that time. Yet Epson lists it as supporting Ventura 13.*. Their ICA Scanner driver for Apple's Image Capture was released in Fall 2022, and so were their ScanSmart Core files. In March 2023, they released Epson Easy Photo Scan Utility, all indicated to also be compatible with Ventura 13.*.
See the Epson macOS 13.* page for the first paragraph v600 software.
There have been continuous posts about operating system compatibility issues with the V600 scanner even before Ventura was released. Even the optional VueScan Professional requires a working Epson V600 driver installation before it will support this scanner. Apple provides Epson with the development tools to improve their scanner software support on Ventura and any compatibility changes introduced by operating system updates should be Epson's proactive responsibility to correct.
I have some slides to scan and the litany of critical posts about this scanner, along with VueScan's driver dependency for this scanner have taken this device off my scanner purchase list.