Are you having problem with the text in the Publish Online display, or on a PDF which you're making by turning on that option?
What browser (for Publish Online) or PDF reader (for PDF) are you using?
Can you provide a screen grab of both the InDesign page and the output to help us try to figure it out, please.
When I mkae a Publish Online document the text problem appears. When i'm inside InDesign or making a PDF for print, there isn't any problems with the text.
When pressing view document inside InDesign Publish Online, it opens in firefox. But I've also tried other browsers.
Here are pictures from when i'm inside InDesign, and when it's published ...
Try saving the document as IDML. Reopen in InDesign, and try again. There could be some subtle corruption.
Thank you so much, now it works
Have a nice day.