Correct Topology?

Hi,

Provided are screenshots of a test mesh created specifically for this question. Which is the correct way?
Pic 1: Has many unnecessary edges and looks very messy/untidy.
Pic 2: These lines/edges have been removed, but still makes me think that this could cause issues later on.

Is Option 2 impractical for any reason? I feel this looks neater, but I never really see any other people doing it this way.