Got curious, and searched the IRS business section. I got this out of IRS Bulletin No. 1998-7, February 17, 1998 It's not specific to OID, but it does say the intent is to align treatment of bond premiums with OID. Thought it might be helpful as an indication, and a possible place to read more and get a definitive answer.
[Section] 1.163-13(a)
(a) General rule. If a debt instrument is issued with bond issuance premium, this section limits the amount of the issuer's interest deduction otherwise allowable under section 163(a). In general, the issuer determines its interest deduction by offsetting the interest allocable to an accrual period with the bond issuance premium allocable to that period. Bond issuance premium is allocable to an accrual period based on a constant yield. The use of a constant yield to amortize bond issuance premium is intended to generally conform the treatment of debt instruments having bond issuance premium with those having original issue discount. Unless otherwise provided, the terms used in this section have the same meaning as those terms in section 163(e), sections 1271 through 1275, and the corresponding regulations.