Of note may be the designation file for the route's previous iteration, from before its mileage was transferred to I-40-BL:
Highway Designation File
STATE HIGHWAY SPUR NO. 504
Minute Order 066067, dated 04/03/1972; Adm. Cir. 036-1972, dated 04/15/1972
Glenrio Spur - From Texas/New Mexico State Line at Glenrio, eastward 0.45 mile over old location US 66 and northward over new connection to IH 40, a total distance of approximately 0.61 mile. (Deaf Smith County) New Designation.
Had US-66 already been relocated off of this road by 1972? I don't see anything in the AASHTO database for US-66 in Texas from before 1975, and that was for a relocation onto I-40 at the Oklahoma line.
According to the minute order, I-40 was being built on new location parallel to US 66 and US 66 would be signed along the Interstate. So it wasn't relocated until the Interstate opened. The only piece of US 66 moved to the Interstate was the part in Glenrio, at least in this minute order. It appears it was mostly left in place and signed as business routes until the whole designation was cancelled. New Mexico wanted to drop their section of the old route, which is rather extensive and very rural, and appears to be maintained in a low condition. Texas moved the west end of their portion to the Interstate because New Mexico did. Texas is not eager to drop roads, so they gave the old road a spur number, probably also signed as a business route, as was the common practice. I think it was 1990 when the business route became an official designation. It's actually a category of State Highway, like State Highway Loops and Spurs, and is not a category of the parent route if that's a US or Interstate Highway.
The buildings in the area abandoned and the AADT is 40, so it probably costs very little to maintain. Going out and taking down the signs would probably cost more than leaving it on the books.