Would- who knows. Some offices like going with the best charges and ignoring the ancillary as they would be wrapped in the greater charges (concurrent sentence). Others like the kitchen sink approach; throw a lot and most juries will pick a random few if they can't agree on the primary charge as a compromise to all go home. The kitchen sink has the best and worst of office practices. Some folks have everything well prepared and demand justice for all acts; others just throw a lot of crud at the wall confident some will stick.
Could- Most Definitely.