I've not done w&t in the round myself. I find w&t to be tricky at best. You said it's not crucial that it be perfect on this project so I'd say try not to worry too much and look into how to do it better next time. I gave up on w&t in general because I couldn't get a result I was pleased with. Cat Bordhi has some different ways of doing it, I couldn't find the videos I was thinking of though.
thinking I do short rows for sock heels, so I guess I've done short rows in the round, but I don't do the w&t and the short rows are worked flat anyhow. Are the short rows for your project, in effect, worked flat?