Ah. (we are playing message tag, I see!)
In THIS case–if you are assuming that as an arbitrary thing, Protestants are told to leave their Bibles, and Catholics their rosaries, at home. . .
Then the Protestants would be more upset. Protestants use their Bibles during service. However, most places have ‘pew Bibles’ so that wouldn’t affect them. If you’re saying that suddenly the only Bible in the place would be the Pastor’s. . .well, that really isn’t any different from a lot of Catholics who have no missals in church, and can only ‘hear’ (and not follow along on a page) the word of God. Apparently, that last is what we are supposed to be doing anyway according to the GIRM (although those of us with less than stellar hearing, or with less than gifted readers, might have more difficulty in that situation). Still, the Protestants seem to be more community oriented as well as being more “me-and-Jesus” (not that this is a bad thing) and would probably dislike not having their “right” to have ‘their’ Bible with them. Although some may not have any problem as they know their Bibles well, or don’t read well and always ‘listened’ more than read anyway.
The rosary, OTOH, is not something which most of us pray during Mass anyway. Furthermore, one does not ‘need’ a rosary to pray the prayers–in a pinch, fingers can ‘keep count’. So denying a rosary at Mass would cause very little upset. Those who want to pray a rosary will do so whether they have the beads in hand or not.