A 'Direct To' may not put you on the track between the the two fixes involved at the time you 'execute' it. That would not necessarily be what you're cleared for.
that is pretty right-but like written , the offset will be that marginal that atc does not even see it. but its true from a pure technical point of view that the ap will track from the position you hit enter after direct to, it will not intercept the line which is between the two pints.
Better than using A/P HDG, why not hand fly the FD in LNAV and get something worthwhile out of the exercise? Be smooth.
with coffee in left and the sandwich in the right hand???