The answers above may look like a spaghetti of different concerns for many readers. Let's sort it out.
1. Security, cypher strength.
The statement of @SEJPM is misleading. This is like to say "100 googols is not greater than 1 googol, because even 1 googol is too big". Dont't mix key length and cypher strength. If the key length = 128 bits, it doesn't mean one needs 2^128 keys to break it. For a naive brute force breaker, yes, that would mean 2^128 attempts. But for an advanced breaker in a particular context that can mean essentially less keys that need to be tested. Nevertheless, the correlation does exist, the longer the key, the more attempts are needed, the more secure the cypher is.
That's why ignore the "meh cannot break". Of course, Threefish with 1024 bits key is more secure than AES with 256 bits key.
Are you going to encrypt terabytes of data each day? Then the statements of @SEJPM about resources may be relevant for you. If you are going to encrypt your emails or your chat messages only, you may not even notice any changes in resource consumption. It depends on your use case.
3. Goal of encryption.
Consider what are you going to achieve with encryption.
Who are you going to hide the data from? From somebody who occasionally gets access to your data, e.g. on a network share or in a cloud backup?
From somebody who intentionally wants to get your data? From the government? Some of them have much, some have few resources to break the encryption. How long want you keep your data secret - 1000 years, 10 years, 1 year, 1 month?
What will be the price of what you lose if your encryption is broken? Will you lose \$1000000 contract, \$100 or \$10? In one case Threefish 1024 may be needed. In another case even the old 3-DES may be sufficient.
4. Encryption and smartphone?
This is an oxymoron. Google can access your smartphone at any time. Many processes can access your data on the smartphone, from files in the file system to the keyboard. Again, consider what are you going to gain with encryption. If the price of disclosure is really high, you are not going to use smartphone for encryption.
Of course marketing is important in the mentioned app. No, they don't lye about the encryption strength. Threefish 1024 gives really more security than AES 256. The marketing trick is to make you feel that you need stronger encryption where as in the reality even not only AES256, but even 3-DES may be sufficient. Again, consider points 3 and 4 above.