Greetings from Syncfusion support.
We have checked your reported issue with react-routing. Unfortunately we were unable to replicate your reported issue in our end. We have created a simple React routing test sample with RTE component. The react component is rendered properly when switching between react routing pages. We have attached the sample for your reference, please find the sample at the following location
In above sample, we have rendered the Rich Text Editor component in the History page. We suspect that you might have re-rendered the component in your end and this could be the cause of the issue. Please ensure this in your end and kindly confirm.
Please check the above test example and suggestion in your end. If the issue still persists, please share us sufficient information to replicate the issue in our end. Else you can use the attached test example to replicate the scenario and revert it to us. This will help us isolate the root cause and provide a prompt solution.