refactor: check activity in profile synchronizer

[dated]

Summary

https://app.clickup.com/t/mzcj3p

Checklist

• [ ] My changes look good in both light AND dark mode
• [ ] The change is not hardcoded to a single network, but has multi-asset in mind
• [ ] I checked my changes for obvious issues, debug statements and commented code
• [ ] Documentation (if necessary)
• [x] Tests (if necessary)
• [x] Ready to be merged