Dairy bread is not uniformly forbidden, there are two exceptions (from OU here)
- Dairy bread that has a unique shape is permissible because the shape will serve as a reminder that the bread is not parve
- One may bake a small portion of bread which will be consumed in one meal, as it is assumed one will remember the meat status without difficulty.
As such I understand that it might be difficult to say the keilim have to be kashered every time and indeed there are opinions on both sides. OU Kosher brings the full discussion and there is an opinion that compares dairy bread to bishul akum like you suggested!
Summary: According to R Hershel Schachter (OU's senior posek), one should not bake dairy bread without kashering the keilim but where required one might rely on lenient opinions and not kasher them.
If dairy breads were baked in an oven, will it require kashering? If
pareve bread is to be baked in the oven, the oven will anyways need
kashering so that the kosher bread can be labeled pareve. However, the
question arises whether cakes or cookies, which are permitted to be
labeled dairy, can be baked in the oven without kashering. Do we view
dairy breads just like every other ma’achalos assuros? Teshuvas
Tzemech Tzedek (Hakadmon) siman 80 writes that dairy bread is a full
issur d’rabbanan and compares pas ha’nilush b’chalav to chicken cooked
with milk. Therefore, according to Tzemech Tzedek the keilim would
definitely require kashering.
However, Chavas Da’as (Y.D. 97:2) and
Yad Yehuda (Y.D. 97:5) disagree, and say that pas ha’nilush b’chalav
is more kal, and will not give a bliyos issur into other foods. Yad
Yehuda compares dairy bread to bishul akum which likewise is batel
b’rov. Although there are two opinions brought in Shulchan Aruch as to
whether one needs to kasher from bishul akum, and l’halacha we are
machmir, however Rav Schachter explains that regarding pas ha’nilush
b’chalav there is even more reason to be maikel. Rav Schachter
explains (K-329), based on Ha’gos Issur V’heter (klal 39; brought by
Shach 97:2), that pas ha’nilush b’chalav is only a safek issur (i.e.
maybe it will be eaten with dairy, maybe it will be eaten with meat).
This is more similar to eating milk after meat without waiting 6
hours, since this might lead to eating milk and meat together. The
issur is on the person eating the food, not on the food. Additionally,
Ha’gos Rebbi Akiva Eiger (O.C. 196:1) writes that one who ate pas
ha’nilush b’chalav may be included in a ziymun, since it is an issur
kal. Rebbi Akiva Eiger explains that dairy bread is more kal than
other issurim, since according to some poskim the issur can be removed
by dividing up the dairy bread among many recipients so that each
receives a davar mu’at and there will be no leftovers. Although we
don’t pasken like this opinion, still Rav Schachter argues that we can
rely on this opinion regarding kashering. However, Rav Schachter
cautioned that although, m’ikar ha’din we may be maikel, but since
many poskim were machmir, lichatchila one should not permit dairy
bread to be baked on kosher keilim, unless one will kasher. However,
in situations where it will be difficult, perhaps one can be maikel,
since this is the ikar ha’din.
For further sources see also here and there. And don't forget to consult your rabbi
before implementing anything you learn here.