Can we talk about the fact that in her portrait, Ursa Wren is wearing a dark-green, off-the-shoulder dress that is very similar to Satine’s “butterfly” dress? If you don’t think that one is supposed to evoke the other, look at the identical chokers. This was definitely a conscious design decision, even if we aren't given the significance behind it.
Depending on when Ursa’s portrait was done, I like to think that either a) Satine was considered a fashion icon and clothing inspired by her wardrobe was made for others, or b) Bo-Katan gave Ursa Satine’s dress after her death and Ursa made it a bit less conservative by removing the bit around the shoulders and shortening the sleeves.
Either way, it’s a really interesting connection that suggests that while Ursa Wren was a member of Death Watch (perhaps conscripted by Pre Vizsla as a vassal clan leader within his House), she may have appreciated Satine or even supported her during her reign. (The fact that her husband, Alrich, is not a warrior and may even be a pacifist could also support this as well.)