Some people (such as yourself) hold the view that He could not, but it is a conclusion you have drawn.
Once again, I agree.
I do believe that it is a conclusion ( understanding ) born out by Scripture, however...
But that is as far as I can currently take it.
When it comes down to it, I don't believe it has any affect on our salvation or any Christian doctrine which view we take on this question.
Yet again I tend to agree.
But to me there's another issue that pops up...
Should we, as believers, be taking on the question?
Is it profitable and does it lead to edification ( building one another up in the faith ), or does it lead to a "dead-end" and take us off-track from what is really important...
Christ crucified for sinners, and His saving us from ourselves.
To me, it is enough that Scripture tells us that He did no sin ( Hebrews 4:15 ).
Anything past what Scripture declares is speculation and I don't think it's worth speculating on, IMO.