While Ibsen was indeed a great influence on Joyce in many ways,
there is no evidence that Ibsen's writing in A Doll's House influenced Joyce's character Molly Bloom from Ulysses.
While the onus really falls on the OP to provide evidence that someone claims this, I will attempt to prove the negative.
Personally, as a Joyce head, it was only when I read Finnegans Wake that the Ibsen influence became apparent, in particular The Master Builder, and one should definitely read/watch this play (a noir?) before continuing with paragraph five and our first introduction to Finnegan, here archetyped as "Bygmester Finnegan". With respect to Ulysses however, the commentary I read regarding Ibsen pertained mostly to style and Stephen. I do not recall any special mention of Molly nor A Doll's House.
Recall that in the "Eumaeus" Chapter 16 of Ulysses, it is Stephen's thoughts that turn to Ibsen explicitly, in contrast to Bloom’s thoughts of smells and sounds.
Between this point and the high at present unlit warehouses of
Beresford place Stephen thought to think of Ibsen, associated with
Baird’s the stonecutter’s in his mind somehow in Talbot place, first
turning on the right, while the other who was acting as his fidus
Achates inhaled with internal satisfaction the smell of James Rourke’s
city bakery, situated quite close to where they were, the very
palatable odour indeed of our daily bread, of all commodities of the
public the primary and most indispensable.
Personal memories aside, the only way to prove this negative is to demonstrate that none of the authoritative commentators have picked up on this. We organize these commentaries into two groups. First we consider commentaries on Ulysses, and discover no links between Molly and A Doll's House, and while most mention Ibsen, none mention A Doll's House. Secondly we consider texts particularly focused on Joyce and Ibsen. None of these mention A Doll's House and make little reference to Molly, if at all.
Commentaries on Ulysses
Turning to my long time Ulysses companion, Hugh Kenner's Ulysses, there is precisely one mention of Ibsen, in Chapter 5 on Leopold Bloom as The Hidden Hero, and in this case the reference is to Joyce's style in general.
Speech for Joyce, as for men of the Renaissance, is the distinctively
human act. Silence, a failure of role, is the stuff of drama (so
Shakespeare, compared to Ibsen, is merely 'literature in dialogue' -
Critical Writings, 3 9).
There is no other mention of Ibsen!
After spending the evening in the library, we have the following further authoritative texts on Ulysses that too fail to notice any Ibsen relationship with Molly, nor make any mention of A Dolls House. Of course if I had found an example linking Molly and A Doll's House I would change my answer to this question.
In James Joyce's Ulysses: A Study (1955), Gilbert's only reference to Ibsen occurs in the "Hades" chapter, with a note that the non-existent character "Mackintosh" on the list of signatures is "as one of those ominous and more-than-unnecessary persons in an Ibsen play".
In James Joyce's Ulysses: A Reference Guide (1966), McKenna mentions Ibsen only once, merely highlighting that Joyce wrote a review of an Ibsen play and that in turn, Ibsen wrote to Joyce.
The only mention of Ibsen by Blamires in The New Bloomsday Book:
A Guide Through Ulysses (1997), pertains to the Stephen thought quoted above.
If the hypothesis had any support, we should surely find it in Crispi's Joyce's Creative Process and the Construction of Characters in Ulysses: Becoming the Blooms (2015). There is however, not a single mention of Ibsen.
Commentaries on Joyce and Ibsen
From the opposite direction we have Macleod's The Influence of Ibsen on Joyce (1945), although it must be mentioned that the analysis of Ibsen and Finnegans Wake is incomplete given the date and complexity of Finnegans Wake.
Macleod makes many references to Ibsen's influence on Joyce generally. Particularly mentioned is Ibsen's Brand. Of the Joyce characters, it is Stephen that Macleod finds many parallels from Ibsen (17 mentions), Leopold Bloom far less (2 references), while Molly is not mentioned at all. Further, Macleod makes no mention of A Doll's House
While I don't have a copy of Tysdahl's Joyce and Ibsen: A Study in Literary Influence, there is a review by Mooney in the James Joyce Quarterly available online.
Consistent with Macleod, it is Stephen with whom most Isben character references are made. There is no reference to Molly whatsoever. Again, there is no mention of A Doll's House.
