I wonder if having any consequence change the LB medium after bacterial transformation and to use any other enriched broth, for example, trypticase soy broth.
The strain should grow fine in either one, and it's probably fine for making plasmids and such. It might show somewhat different growth characteristics but in most cases that isn't important. If you were doing protein expression, then medium changes can make a huge difference (but you don't know which is better until you try).
I agree with Michael J. Benedik . The growth of E.coli might differ since media composition is an important factor for determining growth rate. As an independent experiment I would suggest you try both separately and observe the differences in growth, final O.D, lag durations and so on.