Any thing you do on the internet discloses your WAN IP Address. This of course being the address that goes out from ur modem to the real world and given to you by ur ISP. As a DJ and an owner of his own server ( i do not rent servers when i have business internet and can handle up to 600 listeners without even noticing drag) i rarely pay attention to the Shoutcast DNAS log except the number of people connected to the stream.
Yes IP addresses show up but that is how any server DOS dialog, prompt, or whatever streaming text shows when someone connects to something. Technically you are safe, and I can prove it. Just cause I can see IP addresses...none of them show who's belongs to who's. the list is sparse and so not well put together. Modems from Cable and DSL companies comes with firewall properties and they are not Switches or routers so getting in is not even close to doing, even for the best hackers, which is why they use spy/ad/and malware to gain entry, which usually some dumbass aquires by clicking on things and using ineternet explore (awful web browser).
If you are on DSL...Guess what, ur WAN IP address changes every time you disconnect from your ISP's network. If you are using Cable/Fiber or Business Internet, then you have a static IP address and usually your port 80 (internet out) is off. The only thing you are doing is depriving yourself of music and fine speech in SL and you are not really saving your computer from nothing by not listening to Live music or DJs.