No advantages at all for a correctly installed wired station ??
Well, 2 minor advantages I guess:
1. The wire can provide power to the sensors so never any issue about needing to replace a battery on the sensors.
2. The wire provides a consistent and reliable path for data from the sensors to console/display indoors. There are no concerns about wireless range, variable wireless signal strength etc. That said, wired is not immune from issues. Over time wiring can deteriorate, especially at any joints, and be vulnerable to damage from animals especially rodents, unless carefully installed in a robust conduit. And a long wired connection can perversely act as an antenna and feed radio-frequency interference into the display, though this is uncommon unless the site is near to a source of strong wireless signals. There are also potential issues of ground loops. A wireless set-up does provide complete electrical isolation between sensors and console.
Overall there are pros and cons, but wireless generally wins out for sheer convenience and flexibility. But I know that a few user still strongly prefer a wired station. Ultimately of course, provided you understand the pros and cons, it's down to personal preference.