Also, only developers who have no idea know what they're doing will feed plain-text passwords to their hasher. You should be peppering and pre-digesting the passwords, and at that point bcrypt's 72 character input limit doesn't matter.
It's easy for somebody who knows this to fix bcrypt, but silently truncating the input was an unforced error. The fact that it looks like and was often sold as the right tool for the job but isn't has led to real-world vulnerabilities.
It's a classic example of crypto people not anticipating how things actually get used.
(Otherwise, though, I agree)
You do not have to do any transformations on the input when using Argon2, while you must transform the input before using bcrypt. This was, again, an unnecessary and dangerous (careless) design choice.
KDF(password, salt XOR pepper, ...)
KDF(password + pepper, salt, ...)
KDF(password, AES128(salt, pepper), ...)
KDF(HMAC-SHA256(password, pepper), salt, ...)
...
And no, you cannot always pepper. To use a pepper effectively, you have to have a secure out-of-band channel to share the pepper. For a lot of webapps, this is as simple as setting some configuration variable. However, for certain kinds of distributed systems, the pepper would have to be shared in either the same way as the salt, or completely publicly, defeating its purpose. Largely these are architectural/design issues too (and in many cases, bcrypt is also the wrong choice, because a KDF is the wrong choice). I already alluded to the Okta bcrypt exploit, though I admit I did not fully dig into the details.The HMAC-SHA256 construction I showed above, and similar techniques, accomplishes both transforming the input and peppering the hash. However, the others don't transform the input at all or, in one case, transform it in a way even worse for bcrypt's use.