I don't mean to be rude, but I don't like the question at all. I can't articulate why but I'm not sure you understand the real functions of these elements.
1. Bearing stiffeners are designed to provide a stiff load path from the superstructure at support locations. If there aren't any stiffeners the web is going to buckle because thats where the shear forces/reactions are greatest.
2. Intermediate transverse stiffeners (IST's) are designed to increase shear buckling resistance through tension field action. They also play a role in providing attachments such as torsional bracing etc.
I also don't agree that they reduce lateral deflection at their location.
For U-Frame/Half-Through bridges yes they will help reduce lateral deflection, but thats missing the point - they provide stiff portal action and improve the lateral stability of the top flange when its in compression (i.e. lateral-torsional buckling).
For shallower bridge decks they won't do anything at all unless theres some kind of bracing, and will only help the plate girders in web buckling - they wont do much at all for LTB.
Get a good book and/or find a good mentor like KootK. I really recommend SCI P185 "Steel bridge guidance notes" or Designers Guide to EN 1993-2. Pretty much anything you need to know about small-medium span bridges you can find in those books, although they are primarily catered towards UK bridge engineers.
Hope this hasn't come across too aggressive, just want to help and drive home some points.
gl ukbridge
Edit: To clarify the bracing will provide stability during the wet concrete stage where there is no composite action, for say a steel-composite bridge.