[BUG] Thrown exceptions are silenced by default

[eliashaeussler]

Description
All thrown exceptions are currently silenced by AbstractDataProcessor::process(). This leads to the fact that thrown exceptions result in log entries only instead of showing them in the Frontend (by making use of TYPO3's exception handlers).

Steps to reproduce

1. Enforce your code to fail
2. Check output in Frontend
3. Remove try/catch in AbstractDataProcessor::process()
4. Check output in Frontend

Expected behavior
Thrown exceptions should never be silenced as this makes it hard to find and solve problems in the codebase. Instead, TYPO3's exception handler (or any custom registered exception handler) should be used to handle exceptions the standard way.

Environment

• TYPO3 version: all supported versions
• Handlebars version: all versions
• Composer Mode: not relevant
• OS: not relevant

Additional context
No.