Oh and it’s a 1910 Victorian. I’m fusing old and new and going with a Victorian industrial design aesthetic…

Yes you certainly can: ) The stain suggests a more "important" space than a utilitarian closet or even a half bath.

I agree, secondary doors can be painted with more important doors stained.

I agree too but pictures are always a help just to give us a visual. BTW post any comments , questions or pics on this post in a comment do not start a new post.

No, you have chosen to stain the interior front door...it is now the "commander". Paint all the other doors white.

You can, but should you.... Traditionally, painted wood was used in the utilitarian spaces (bath, kitchen, work areas... sometimes bedrooms) and as Jan said finished wood (sometimes higher quality) in the more public spaces. These doors you mentioned - you said they are all visible from main hallway as you enter the house so that kinda puts them in the domain of "public space."

What's happening with the trim - I would prefer it stained same wood color as doors, consistently throughout the downstairs public spaces. However if you are doing the wood door + painted trim thing.... then yeah, paint the doors you mentioned the same color as the trim. If the trim is stained wood then leave all the doors stained wood. Essentially, you dont want to draw attention to those two unimportant doors, so I would do them the same as however the trim around them is done.