Of course, it works both ways, so to speak.
It is true that some can go ‘overboard’ and give Mary a false kind of veneration (which the Church emphatically does not approve of.) However, “appearances” are not necessarily reality. IOW, if I were to be seen in a church leaning over to kiss a statue of Mary, some might think, “Oh horrors, that idolatous woman is giving Mary glory that only belongs to God!” But if in my heart I firmly and consistently consider Mary as God’s creature (never God) to be loved and honored as Christ’s mother, I am not taking any glory from God whatsoever; in fact, I am giving Him greater glory through appropriate respect of His mother.
However, it is equally true that some can go ‘underboard’ (so to speak) and believe it or not, detract from the complete worship of Jesus by ignoring, or worse yet, denigrating, His mother.
Sins of ‘omission’ are just as serious as sins of ‘commission’. Omitting to give Christ His complete glory through a false understanding and detraction of His mother is as much a problem in its lack as failing to give Him His glory by ‘giving it to somebody else’.
While our Protestant brothers and sisters might be upset (and of course, we are too) with Catholics who have ‘committed’ the error of giving Mary Christ’s glory, we Catholics are upset when we see Protestants who have ‘omitted’ to give Christ His glory through their treatment of His mother. However, it is harder for Protestants to see this ‘omission’ of theirs, it seems, and they do not seem to accept this as a problem that is as great–in fact, is actually much greater–as that which they accuse some Catholics of.
It is actually much more rare for a Catholic to truly go ‘overboard’ on Marian devotions deliberately than it is for a Protestant to be ‘underboard’, and again, you are far more likely to hear a Catholic, even the most “Marian”, still understand that Jesus is God (even if he or she is spending what looks like more time with Mary). But of the Protestants who absolutely denigrate the mother of God, they actually go out of their way not just to make her anonymous or unimportant, they tend to actually call her not just ‘sinful like anybody else’ (bad enough), but they actually say that Jesus Himself denied her, that she failed Him, that she was nothing but an ‘incubator’, that she was not even the Mother of Christ but only of his ‘human nature’ etc. . . .and they fail to see how this detracts from Christ’s full humanity by the false representation of His mother and His relationship to her.
It is very disturbing to Catholics and while we understand that many if not most Protestants are at least ‘respectful’ of Mary, the kind of language that is used is so ‘dismissive’ of her that it appears to us that they harbor the same kind of fanatic ‘disrespect’ as the more ‘zealous’ of their brothers and sisters.