The question you ask calls for an opinion, so there is really no correct answer. However, if you look at the facts surrounding either choice, a person can draw their own conclusions.
Paper is a representation of physical, but it is not physical per se. There are different types of paper PMs, some better than others, ie allocated PMs vs. unallocated PMs. In allocated accounts there are supposed to be specific bars being held in your name that belong to you in a vault someplace. In unallocated you hold ownership to a certain amount of bars, but there are none specifically set aside with your name on them. I am not challenging the integrity of any bullion vaults anyplace and I am sure there are some very trustworthy institutions that handle such transactions, but when you own PMs this way you are trusting that someday if you decide to take ownership of the bullion that they will ship it to you without any problems. Further, there are fees associated with storage, even if what you own is unallocated in many instances. If things really fell apart, how would a person force the custodial company to turn over the metals, especially if they are held in another country?
The reason for owning physical PMs is so that you have something in your possession (tangible) that has had value as money for over 3000 years in the event the world financial markets turn to crap. You may need to pack it up and go without a lot of time to prepare. In such an event would you feel better with a suitcase full of gold and silver or a folder with pieces of paper that show ownership of PMs someplace in the world. If a worldwide financial meltdown happens I personally would feel much better holding my own physical PMs than holding pieces of paper that represent PMs.
The bottom line is that if you don't hold the physical PMs in your possession (in your safe or safe deposit box or hole in the backyard), you may not have them at the time when you really need them.
Paper PMs that are represented by ETF shares are good for flipping or trading short term because of the lower premiums (brokerage fees) and the entry and exit points are closer to spot. If a person had millions of dollars it might not be bad to diversify and hold some portion in allocated PM storage vaults in another country as a hedge in case some crazy stuff happened here. In that case, it would be nice to know you had some money stashed away in another country, but even then I would keep the majority in physical right here.
There is really no 100% way, without a doubt to know you own and hold your physical PMs unless you actually can hold them in your hands when you want.
PS In my mind the difference between paper PMs and physical PMs in your possession is kind of like the following: Let's say you have a beautiful girlfriend/wife. Would you rather have a photo of her in your possession while she lives in a foreign country or other state someplace and you never get to see her in person, or would you rather have her living in your house with you? Not on point I know but you get the idea.
All above is just my opinion.
Jim