No, USB (or serial) logger can not be connected direct to the internet/router like the WeatherLinkIP. USB or Serial logger could be connected to your network and accessed locally by software such as WeatherlinkPC etc, have used Moxa, Lantronix in the past.
Quite rare for a WLIP to fail, have some of the very first WLIP's (early 2008) still running fine. What appears to be the problem?