QWebEngineView: html text input overridden by Qt shortcuts

Qt application with shortcuts set for single key e.g. "a" or "e" doesn't allow typing those keys to html text input field. Instead the assigned shortcut is triggered.
With QTextEdit typing letters assigned to shortcut keys is working fine.

Steps to reproduce the issue
1. Run attached test application
2. Click on the webpage search text field
3. Press "a" key from keyboard

Expected outcome:
Letter "a" is typed in the webpage text field

Actual outcome:
Shortcut is triggered when "a" is pressed