Could sure, but that’s not how ransomware typically works. Typically, it is a non interactive process that is enabled by automated application of strong encryption delivered via a binary payload. It is encryption that puts the user in danger of malicious intent not the payment rails. Before Bitcoin, LR ukash and shady payment card processors handled this. Cryptocurrency is just a better rail, so good guys and bad guys use it.
Is your problem with the network enabling crime? (Internet?)