It doesn't bother me in terms of enjoyment but in terms of the flow/balance of a round architecturally I've found it really does make a difference; especially at the classics where starting at the 10th probably wasn't a consideration at inception.
I played Kawana starting at the 10th and was completely underwhelmed with a short par 3, to a pretty bland green site (we played to the right hand green that day). Whereas when we got to play 1, I was "wow!" as it really starts with a bang and in that sense, the 10th would have been a perfectly solid hole in the overall balance of the round.
In retrospect I was overly harsh on my assessment of the 10th because of starting there. Similarly, 9 is a nice hole but not comparable to 18 as a finisher. The point being that the mid-point of the round at 9 and 10 is fairly tame, whereas 1 starts strong and 18 finishes with a gorgeous hole backed by the hotel and lined with Cherry Blossoms.
The same happened at Hirono. The 10th hole there is excellent in it's own right, but it's a tough opener, whereas 1 is a nice ease you into the round kind of hole.