sorry I'm not exactly sure what you're trying to say but let me be clear on what MI's policy is, only employees of the government (which employees of FFRDC are) are eligible for the government rate regardless of the fact that they might have travel orders from FFRDC or might be sponsored by them - there is no law requiring hotels provide rooms to the government, nor are there laws requiring hotels to sell them to the government at a rate established by the government - hotel's are just like any other business and able to pick which guests they wish and which they dont (as long as they dont violate discrimination laws)

Addtionally while the government might tell a contractor they are eligible to use the Per Diem rates there is no law mandating what rates hotels may charge and who may or may not be eligible for Per Diem rates, these decisions are left to the business operator not the government - Most of the large hotel companies have decided contractors may not receive the per diem rates (local hotels do have the ability to create an LSOP that will vary though)

So simply put - if you're a contractor and the hotel does not have a LSOP you are not eligible for the government per diem rate, if you are an employee of the government and the hotel does not have an LSOP you are eligible for the government per diem rate (not sure why a hotel would have an LSOP excluding an agency of the government but it's possible)