I can't think of arpeggios in terms of note names -- they fly past too quickly for my aged brain! I just think of wbw ones as triangular, while www ones are more linear. I've just tried (never tried this before) to play D major with my eyes shut and once I got stably into pattern I could do it quite easily. (Not being modest, I would say I'm rubbish at arpeggios.)
I've analysed why I'm making frequent mistakes with arpeggios. It's mainly the left hand thumb under (obviously on the way back down). So with D major arpeggio the D key is obscured by the hand on the return. If I say the note D to myself just before attempting to play it the mistake is eliminated or rather the mistake occurs much less frequently. I suspect that once it's really in the fingers I won't have to say that note name.