Money is the agreement that a given person has a given amount of money. That's why blockchains, which allow distributed consensus, can be used to establish currencies.
If, by "intangible bit patterns", you mean the credentials for someone's bank account, this is also not the same as a copy of a creative work. By having a copy of credentials you have the ability to change how much money the person has. This is very illegal to do without consent. Analogously, nobody is suggesting we should be able to legally break into the author's computer and modify their copies of their book.
Ownership is about control over things. The author has control over their copy, and I have control over mine.
Rules of ownership are necessary for rivalrous goods, and not for others. Citing Thomas Jefferson,
"He who receives an idea from me, receives instruction himself without lessening mine; as he who lights his taper [(candle)] at mine, receives light without darkening me.
That ideas should freely spread from one to another over the globe, for the moral and mutual instruction of man, and improvement of his condition, seems to have been peculiarly and benevolently designed by nature, when she made them, like fire, expansible over all space, without lessening their density in any point, and like the air in which we breathe, move, and have our physical being, incapable of confinement or exclusive appropriation."
When we're talking about copying information, the issue isn't fraud, it's that you copied somebody else's recipe and made your own version. Now if you were selling this thing and representing it as your own, that would be one thing, but if you're just using it for personal reasons, people might look at it differently. It's as if you found the recipe for a Big Mac and made your own in your own kitchen for your family using your own materials. McDonalds might not like that because you aren't buying theirs, but I don't think they have any legal way to stop you from cooking a Big Mac copy. You could even sell it as long as you don't use their trademark.
Media companies, however, can stop you from "cooking your own Big Mac," even when you make that copy with your own equipment in your own home for personal use. You aren't allowed to use the recipe for a copyrighted media file, in some cases, even if you bought the original (because of having to circumvent DRM). Lawrence Lessig used an example of an ebook of a public domain work that contains the stipulation "this book may not be read aloud." The only justification for this distinction between rights to these recipes is that the law doesn't consider a recipe for food or flavors to be substantial original works but does consider a recipe for sounds or text to be original works of authorship. Some people would see this as an arbitrary distinction. We simply made computers too good at copying things to work within a traditional publishing framework.
None of this automatically makes any of these things ethical, but it's entirely possible and not hypocritical to have differing opinions about fraud and copying. Some people are concerned about the ethics of restricting copying in the way we do. It gives big advantages to those who have been first to file patents and copyrights, companies like Disney who have made their fortune by adapting public domain works and then copyrighting their versions and extending them perpetually. Some people see this as a movement toward a world where no creativity is allowed because somebody owns all of the foundational ideas, stories, and sounds on which we base our culture, which is always derivative of the past. It's already difficult to create anything without being assaulted by lawsuits, and this problem is only getting increasingly worse. To some people, avoiding this dystopia of a ban on creative works is much more important than protecting the profits of established companies with large legal departments. As the world is joining the global economy, they're increasingly being forced to adopt the intellectual property laws of the same countries that have been exploiting them and appropriating their best ideas for generations. Now they're finding it increasingly difficult to compete with the information economies of the already rich. This is a serious problem that needs to be addressed.
If I copy the numbers in a very rich person's bank account to my bank account, I haven't stolen anything from them. All I've done is made a copy of some information.
And yet one kind of copying generates rants about the cultural value of free distribution, while the other generates nothing but fear and horror.
It's all very strange. And not particularly thoughtful or consistent.
IMO either you have a free economy, in which case you make every damn thing free, or you accept that rules of ownership are necessary and that the output of labour has value independent of the ease with which it can be copied.
Claiming that rules of ownership are irrelevant for IP you personally want from others, but very important for IP you personally want to monopolise, is the very worst kind of special pleading.