Why rush through a game of chess?

Why move our pieces with urgent haste?

Is it because we are racing the clock?

Is it in an attempt to attack or capture faster than the opponent?

Do we sprint through the game simply to create shorter games?

Is it to cause a sudden heightened rush of adrenaline?

Is it to feel the anxiety, when we no longer know what to do?

Is it to move away from the effects of concentration?

If we increase our concentration, will it not sooner or later increase our rate of reaction? Knowledge does help us react faster to a problem. So, how can we increase our concentration when we don't take our time? Obviously we need to play slower to get better results.

Can time management be a solution? Keeping the pressure rather than exchanging the pieces, forces the players to concentrate.

Should we not use all our time available to it's fullest?
Obviously eliminating quick reactions will develop better centipawn results.

You are right. Stronger players play slower. Inexperienced players often play too fast and only start thinking when it is too late. Ideally checkmate should occur when both players have only a split second on their clocks. Otherwise they have not used the resource time to the fullest extent. Also time use should be uniform across moves. You should think about an obvious recapture to see if there is no Zwischenzug. You should not think too long about a difficult decision and trust your intuition.

Well, every player has different aims in chess. If you're not eager to get better, all mentioned questions can be answered legitimately by "I do it my way because I like it that way".

@tpr I don't think time use should be uniform. There are a lot of obvious moves in every game. Sure, even for them it makes sense to have a second look at the situation to make sure it really is obvious. But that's still much less time needed than for difficult moves. And if you always play the same opening lines, the thinking for the first moves has already been done. No need to think about that again.
And then there are forced mating lines that you see but your opponent doesn't (so she/he doesn't resign). It doesn't make much sense to prolong the game there either.

A blitz player requires a creative and intuitive mind.

The expertise in Blitz comes from practice and knowledge. Mastery comes from comprehension.

When a chess player grasps the meaning of play safe, they start playing at a moderate pace.

A chess player's knowledge basically comes from practicing moderately everyday.

Experts have the competence required to become masters, because they studied chess theory.

Masters must comprehend the theory.

Having an intuitive feeling that there was something unsound in a move, comes from experience.

Our rating results show our skill.