Is there any discoloration in the leaves? I know over watering is a common problem with tomatoes and can cause yellowing in the leaves and root rot. What is your climate like? Not sure if that variety has a different threshold for temperatures and humidity than the others.
Yep, Anna Russian often looks wilted. Some heirloom varieties carry a wilt gene and they look wilted during hot days regardless of soil water. The wispy foliage carried by many Russian heart tomatoes doesn't help their looks either.
I also found out the taste of AR can be diluted by too much water.
A few years ago, the first fruits off the plant were marvelous. After a very, very wet June, (about x2 the normal rain fall), the July picked fruits were
very bland tasting.