Be aware that Standby Mode will only show a continuous display if the iPhone supports "always on display". Here is list of iPhone models that support this feature:
- iPhone 14 Pro
- iPhone 14 Pro Max
- iPhone 15 Pro
- iPhone 15 Pro Max
- iPhone 16 Pro
- iPhone 16 Pro Max
The tags appended to your post suggest that you have an iPhone 13. While this model has an OLED display, it does not support "always on" in Standby Mode. As such, in Standby Mode, the screen will always switch-off after a few seconds - but can be woken for few seconds with simple tap.
The iPhone User Guide provides more information:
Keep the iPhone display on longer - Apple Support