No. Controllers are **not cross-compatible** on Wii.
| Game | GH Guitar | RB Guitar | GHWT/RB2+ Guitar |
|---|---|---|---|
| Guitar Hero III | ✅ | ❌ | ❌ |
| Guitar Hero World Tour / 5 / Warriors of Rock | ✅ | ✅ (5-btn mode) | ✅ |
| Rock Band 1 | ❌ | ✅ | ✅ |
| Rock Band 2 / 3 / Beatles / Green Day | ✅ (5-btn) | ✅ | ✅ |
Solution: Use a **Guitar Hero III / World Tour / Warriors of Rock guitar** for GH3. RB guitars work on later GH games (GHWT+), but not GH3.