Hi @crisby ,
Could you please share a bit more about your issue within your app?
Based on the issue that you mentioned, I have made a test on my side, and don't have the issue that you mentioned.
When running SaveData() function within my web browser (Chrome), the SaveData() fomrula would be treated as an error. It says that:
"There was a problem saving your data. Data cannot be saved when running in a web browser"
But the formula after the SaveData() function was executed successfully.
In addition, I think you have something misunderstanding on SaveData() function in PowerApps. Currently, within PowerApps, the SaveData() function could only be used/available within mobile device.
"
You can't use these functions inside a browser, either when authoring the app in PowerApps Studio or when running the app in the web player. To test your app, run it in PowerApps Mobile on an iPhone or Android device.
"
Please check the following article for more details:
https://docs.microsoft.com/en-us/powerapps/maker/canvas-apps/functions/function-savedata-loaddata#description
Please consider take a try to test your app using PowerApps Mobile App in your Mobile device, then check if the issue is solved.
Best regards,