Just tried out the copy a visual and this is an awesome feature. That said I did notice a few issues when copying a table visual. In my case the table didn't copy the conditional formatting icons and it replaced the green table border with a purple border as shown in the following image.
Now the purple may have something to do with my file and a potential theme or lack of themes. I'm sure over time I have tried out every theme to see what it would looke like. I say this because I also have a bar chart that is green in Power BI Service but when Copied as an image the bars are also purple.
Power BI Service
Visual after copy to image from Power BI Service.
That said, I did copy another table visual that has databars and the databars did export correctly.