Auto-fill on page load stopped working on all browsers after the latest update 2024.2.1

### Steps To Reproduce

Enable Auto-fill on page load setting, open any login site.

### Expected Result

Login credentials should automatically get filled out.

### Actual Result

Nothing is filled out automatically.

### Screenshots or Videos


### Additional Context

I've been using auto-fill for several months on multiple browsers without issues (Firefox, Opera, Chrome, Vivaldi). It stopped working on all browsers several days ago, so I assume it has to do with the latest update.

### Operating System

Windows

### Operating System Version

Win 10 Pro 22H2 19045.4046

### Web Browser

Chrome, Firefox, Opera, Vivaldi

### Browser Version

Firefox 123.0.1

### Build Version

2024.2.1

### Issue Tracking Info

- [X] I understand that work is tracked outside of Github. A PR will be linked to this issue should one be opened to address it, but Bitwarden doesn't use fields like "assigned", "milestone", or "project" to track progress.

No files, tests, or entry points are identified in the issue. First reproduce the failure with Auto-fill on page load enabled in the listed browsers, then inspect changes introduced around build 2024.2.1. Done means login credentials are automatically filled again on page load across the affected browsers.

Written by the indexing model from the issue text.