The Wyoming Basin was not a major factor in the settlement of the far West. The basin is a relatively arid region, and it was difficult for early settlers to find water and food. The basin is also located at a high elevation, which made it difficult for early settlers to travel through.
The main routes of settlement into the far West were the Oregon Trail and the California Trail. These trails both passed through the Great Plains, not the Wyoming Basin. The Oregon Trail followed the Platte River valley from Nebraska to Wyoming, and then turned northwest into Oregon. The California Trail followed the Platte River valley from Nebraska to Wyoming, and then turned southwest into California.
The Wyoming Basin was not an obstacle to westward settlement, but it was not a major factor in it either.