Aged chrome film benefits from overexposing combined with pull processing, as this brings image over fog and reduces fog level in first silver negative, resulting in better DMAX in dye image, which would be otherwise compromised due to age fog. OTOH, underexposing aged chrome film places exposure nearer to the fogged blacks---- the "saturation trick" is largely based on very good blacks on fresh film and on expired film it may not work so well...
And, film can also lose some speed as it ages!
However, film expired in 2006, if stored in cold, may not be that old, so you may be right. It depends on storage and has to be tested.