you are absolutely, positively correct. splits make absolutely no difference to the prospective buyer. there is some cost associated with administering the split which for small companies may not be inconsequential.
i think the data is clear. stocks that don't split do better than stocks that do split, i think because stocks that don't split usually have more brilliant and honorable leaders. the best evidence is warren buffett who has never split BRKA which now sells for $90,000 per share and he uses his influence to fight splits for companies on which he serves as a board member (eg. WPO). he is the only man ever to become the richest man in the world from being strictly an investor. he is the unquestioned best ever.
GOOG has announced it will never split. they do no evil and rather do things the right way, the open way, the honest way. that stock will soon be in four figures, and then, within the next couple of decades, five figures. if you are young enough, you might live to see it.