(1) そのアリスの謝罪は、 あまりにも一方的な解釈に囚われた、 本当にアリスらしい、偽悪の言葉だったけど。
Is her apology false?
My answer is No, in other word Alice's intention of apology was true.
If I parse the given sentence (1), it will become like:
(2) [そのアリスの謝罪は]【the apology of Alice】、 + (3) [あまりにも一方的な解釈に囚われた]【seized with too one-sided interpretation】 + (4) [本当にアリスらしい]【seemed to be really of Alice】 + (5) [| 偽悪の言葉だった |]【a phrase of pretending to be bad】 + (6) [ けど ]【though】。
Phrase (3) and (4) are modifiers, so sentence (1) becomes essentially (2) + (5) + (6) as:
(2) [そのアリスの謝罪は]【the apology of Alice】、+ (5) [| 偽悪の言葉だった |]【a phrase of pretending to be bad】 + (6) [ けど ]【though】。
(7) [そのアリスの謝罪は]【the apology of Alice】、[| 偽悪の言葉だった |]【a phrase of pretending to be bad】 [ けど ]【though】。
Essentially, sentence (1) and (7) have a same meaning, except for the case the omitted modifier (3) and (4) would change the essential meaning; which I tell you later on.
Sentence (7) could imply the sentence "the intention of her apology was true" syntactically and also semantically.
I'll tell you why:
Syntactically "(6) けど though" at the end of the sentence apparently reverses the whole meaning of sentence (1) and (7), which could possibly give the answer to the question.
And,
(8) アリスの謝罪の言葉は偽悪の言葉だった けど 彼女の謝罪の心は本当だった。
(8)' 彼女の謝罪の心は本当だった。アリスの謝罪の言葉は偽悪の言葉だった けど。
(9) アリスの謝罪の言葉は偽悪の言葉だった けど 彼女の謝罪の心は嘘だった。
Semantically, sentence (8) is far more effective in the sense of a drama or a novel than sentence (9).
Of course a rhetorical technique of anastrophe (syntactically correct order of subject, verb and object is changed) is used to express (8) as (8)'.
By the way, I don't think sentence (9) make sense.
Let's consider whether the omitted modifier (3) and (4) would change the essential meaning of (1) or not.
★ As for the modifier (3) [あまりにも一方的な解釈に囚われた]【seized with too one-sided interpretation】, it has two possible interpretations from a standpoint of the way of modifying.
Case 1: Modifier (3) modifies アリスらしい in the other modifier (4) [本当にアリスらしい]【seemed to be really of Alice】. In this case the relating phrases make a new modifier as:
(10) 本当に、あまりにも一方的な解釈に囚われたアイスらしい (偽善の言葉だった)
Modifier (10) doesn't to seem to change the meaning of sentence (1).
Case 2: Modifier (3) simply modifies (5) 偽悪の言葉だった as:
(11) あまりにも一方的な解釈に囚われた (偽善の言葉だった)
This case doesn't seem to change the meaning of sentence (1).
★ As for the modifier (4) [本当にアリスらしい]【seemed to be really of Alice】, it modifies and makes a phrase as:
[本当にアリスらしい]【seemed to be really of Alice】[| 偽悪の言葉だった |]【a phrase of pretending to be bad】
This seems nothing to do with changing the meaning of (1).
With these consideration, the answer of the question is No or Alice's intention of apology was true; that is said at the beginning of the answer.