Glancing at the AABB Standards (31st ed), they only state that incoming products shall be "inspected, tested as necessary" before use. In our case, we log the temp as "acceptable" for RBC products received from our supplier if they arrive on wet ice. (and labels are legible, units not leaking, etc.) Likewise, for FFP, on dry ice, and so on. This is written into our procedure for checking in blood products. I do not believe we have ever had to "validate" coolers sent from our blood supplier, although we have to do this with our own coolers used for transport.
Not sure about CAP or FDA regs, they may be more strict.
Scott