I have designed many soil nail walls - both temporary and permanent, private jobs and DOT jobs. Never has the grout strength entered into the design. A few times cubes have been made by the owner's inspectors but they were never used for anything. Grout cube strength also, I believe, can vary significantly depending on the size and shape of the sample and on the type of mold. Perhaps someone else can comment on this.
FHWA calls for 1500 psi (10.5 MPa) at 3 days and 3000 psi (21 MPa) at 28 days. PTI calls for 3000 psi grout strength at the time of anchor stressing. However, PTI also says, "Grout cube testing is not normally required, but may be utilized to evaluate the time of anchor stressing and the quality of the grout mix. Insufficient cube strength shall not be a cause for rejecting a successfully tested anchor."
What is the designer looking for? A credit for lower strength grout? Ask him how he used grout strength in his design. The grout strength is just not a required input value for the design of a soil nail wall or a tiedback wall. Even weak grout is much stronger than the dirt it bonds to; and the bond between the grout and bar is very much stronger than the bond between the grout and the dirt. If an anchor fails, you will not know if it was caused by weak grout unless, maybe, the tendon pulls completely out of the grout. Even then, the cause could be a dirty tendon rather than weak grout. If your anchor tests are good, the grout is good enough.