As an evangelical Christian, in general I can say that most Protestants that I know highly regard Mary and her role as Jesus’ beloved mother, although she is mainly emphasized at Christmas-time. Most of the rest of the time the focus is on Jesus Christ and His role as the Savior of mankind and the need to be in right relationship with Him.
I can only speculate that the lack of attention the rest of the year on Mary is perhaps an overreaction to what is perceived as too much attention and veneration of her by Catholics. The veneration of Mary, if taken too far, can cross the line into adoration as if Mary were an honorary member of the blessed Trinity or something.
For example, there are processions in Latin America and elsewhere in which Virgin Mary statues and/or floats are decorated and paraded through the streets. Perhaps it is just a cultural thing, but it can be perceived that she is held as divine or near-divine by some Catholics.
Most Protestants I know want to make sure they don’t cross that line and perhaps go too far in the opposite direction. I think Mary deserves respect and honor by all Christians for saying “Yes” to bear our Lord and for loving and nurturing him throughout his earthly life, along with being there for him at the cross when he was crucified. However, I will never adore her as divine because she is* not *divine.
When some Catholics pray directly to her, it can come across as if she were omniscient and omnipresent. I’ve even heard a few Catholics say their parishes have mottos regarding prayer like “To Jesus through Mary”. When that is the case, it appears to some that she has taken on divine attributes that were only meant for God and Jesus.
I think Catholics and evangelical protestants can both agree that we should follow Virgin Mary’s own words in John 2:5, where she says in reference to Jesus, “…Do whatever he tells you.”