If I am in an accident in which the front end of my car “T-bones” another vehicle, is this more incriminating—like being the rear party to a fender-bender?

Not at all. Many factors play into the liability for side impact collisions as with all others. Fault is rightly determined considering the full context of the accident and both parties’ roles in it. Do not assume liability based on whether your vehicle was impacted from the front, rear, or side.