If you are investigating an old truss, it was probably designed with allowable stresses. Not quite the same as ASD, but more similar than LRFD. That would be more of a comparison of apples to apples. Then once you understand where the problem areas are, it would be OK to re-analyze it with LRFD as it may provide some benefit to you.
If you are looking at this truss, it must be because something is or has changed - more loads, etc. If it is a retrofit, then the current Code's loads, etc. should be used with either analysis method being acceptable.
gjc