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Is it a near-anagram?

Is it a near-anagram?

Two words are [anagrams](https://en.wikipedia.org/wiki/Anagram) of each other if the letters of one can be reordered to spell the other; e.g. ADOBE and ABODE are anagrams. An alternate way of describing it is that both words contain the same count of each letter. If you were to make a table:

    ADOBE  ABODE
    -----  -----
    A: 1   A: 1
    B: 1   B: 1
    D: 1   D: 1
    E: 1   E: 1
    O: 1   O: 1

We can define a "near-anagram" as a pair of words that are *almost* anagrams, in the sense that they differ by only one letter. For example, TULIP and TUPLE are near-anagrams. TUPLE can be rearranged to spell TULEP, which differs from TULIP by only one letter. As a table:

    TUPLE  TULIP
    -----  -----
    E: 1   I: 1
    L: 1   L: 1
    P: 1   P: 1
    T: 1   T: 1
    U: 1   U: 1

# Challenge
The challenge is to take two strings as input and determine if they are near-anagrams.
- The strings can be taken in any convenient format for your language (strings, sequences of characters, etc.)
- The output can be any two distinct values, as long as they are always consistent; e.g. 0 and 1 for false and true.
- The strings will only contain alphabet characters in a single case. You can assume either upper or lower, whichever is convenient; examples are in upper. Input will contain no whitespace. (It is acceptable to take the input as a single string containing the words separated by whitespace, if it is convenient.)
- You can assume the strings will not be the same. A decision problem to handle equal strings is not very interesting. They may be proper anagrams, however.
- You can assume the input is not empty.
- The two words might not be the same length; they may differ by one letter at most (see test cases.)

Winning criteria is code-golf. Shortest answer in each language wins.

# Test Cases

    ADOBE ABODE   -> false (proper anagram)
    TUPLE TULIP   -> true  (near-anagram)
    ABCDE DADBC   -> true  (two Ds)
    BAR   BARN    -> true  (one extra letter)
    BARN  BARREN  -> false (too different)