My comments are not based on the LOTR films by the way, but the books - what a director does with a book when it becomes a film is not the fault of the books author, particularly if he's been dead for thirty years.
I should also say i just don't like live-action realistic fantasy that much, I prefer animated. The film-makers get hung-up on massive sets and minute detail, and massive armies when none of that matters in a
myth.
Haha I can guess were you are attempting to go with your argument. So I'll have a go at heading you off at the pass.
Harry Potter is not an ordinary character who uses magic once or twice when in difficulties,
he is educated (initiated) in it - even more he is born into it whereas those not of that destiny are 'Muggles' - something every reader of Harry Potter has to face - a bit of a disappointment for them, since they are too.
You'll maybe say its a bit of a disappointment when for kids reading Narnia for instance, they later go to a wardrobe only to find they can slap the back of it. True it may be disappointing for a few, but in the stories they are prepared for that and are told they won't be able to just come and go into Narnia as they please - they have to be
called.
The Harry Potter books don't depict
ordinary people (except rather negatively) - its not like young Charlie, and his family in Charlie and the Chocolate Factory.
There is evidence some of the kids who read Harry Potter are mean-spirited towards those who are not into the books. So the books don't seem to successfully challenge this - which seems quite surprising therefore that in cultures with an emphasis on tolerance, and diversity, a book that portrays most of the human race as ignorant 'Muggles' becomes so popular.
Contrast the diversity of Men, Elves, Hobbits, Dwarfs, in LOTR. Each having languages, histories, cultures of their own. Then there are the Goblins, Orcs, and other assorted creatures in thrall to Sauron.
So I don't see how Harry Potter and LOTR are anything like each other. In fact it just seems to bring out the point I am making - the Hobbits are not interested in magic, they prefer 'good tilled earth'. The Ring belonging to Sauron was for his own evil purposes whether you want to talk about it being 'intelligent', or being drawn back to Sauron because his will was bent on finding it again, the ring still gave illicit powers to its wearer but also brought Frodo momentarily into the world of its owner - Sauron and the ring-wraiths.
He uses it when he is in difficulties, not selfishly as you correctly point out, but it brings more difficulties, doesn't really help - he gets stabbed by a Ring Wraith and a fragment lodges in his shoulder. A major theme is that the longer one has the Ring one is more loath to part with it, its never portrayed as neutral, or that a good character would use it benevolently if they owned it. Gandalf and Galadriel are fearful of what they might do with it, and refuse it - Galadriel
remains Galadriel based on her refusal of the Ring.
That's the major difference between stories like Harry Potter and LOTR. In Harry Potter magic is neutral, just a tool, which is never the case . In LOTR its like true religion if it involves a surrender to something Good beyond themselves, and false religion when it is used to dominate others.
I am not attempting to use terms like "magic" strictly and differentiate magic from witchcraft, I am aware there is a sort of stage magic - quickness of hand - but in HP its education not in speed of hand, its witchcraft, and wizardry and occult powers the kids are being schooled in.
I welcome your comments, criticisms if I have explained it wrong.