This therapeutic direction has two key advantages over other approaches:
1. There's no way bacteria can develop resistance to it in the next 1b years, since those synthetic polymers bind to free DNA without any preference to particular sequences. Therefore, there's no known mechanism (mutations, horizontal gene transfer, etc) that can provide immunity against this class of agents.
2. Being a "small" molecule it has much less risk of eliciting an immune response ( unlike phages, who may invoke some response from immune cells which can decrease the potency of the treatment)
Here is the latest study i'm familiar with that showed pretty good results in animal models: https://pubmed.ncbi.nlm.nih.gov/33571116/