The Press Up is without doubt a king of exercises with far to many benefits to list here. However, I've seen many press up's performed with horrendous form and technique with little attention paid to the finer points.
The benefits are completely lost, shoulder and elbow injury sky-rocket and folks get stuck in single digit press up's for literally years.
Spending time upfront on mechanics & focused technique often means that you may go backwards with press up strength and number, INITIALLY. Only to pass your previous bests with ease.
Of course there are times when it's fine to smash out high rep press up's without considering form, circuits, comps, just before putting on that tiny t-shirt before going on a first date (mainly males).
This is fine, just ensure you practice both methods. Low rep strength work with large focus on technique, posture, tempo, control and activation, alongside high rep for muscle building, endurance boosting, sweat inducing, vomit brewing....yum!!!