with a quick turnaround vs on a quick turnaround

Some examples from the web:

• Right. You mentioned your new lab here has a quick turnaround time.
• Tell him we need a quick turnaround and to push it to the front of the line.
• I'll need a pretty quick turnaround on this if you decide to go for it.
• 13-hour flight to Tokyo, 13-hour turnaround, quick 13-hour flight back home.
• Paris, with a quick stopover in London.
• We must deal with Commander Raiden with a quick and firm hand.
• He can be in other cities with a quick ride on the freeways.
• You shall be rewarded with a quick death.
• I'll start with a quick summary for Sector A.
• I want to close with a quick little video.
• He can be in other cities with a quick ride on the freeways.
• She controls people with a quick fix.
• I will conclude with a quick word about the Treaty of Lisbon.
• With a quick armor adjustment, this crystal air should give my repulsors a major boost.
• I am trying to infuse the buzz with a quick presentation.
• Connect lines from the breakers to an exposed cellphone wire, and with a quick call, you can short the circuits.
• So we're going to kick off with a quick test to find out how much you know.
• Insert the needle into the skin fold with a quick, firm action.
• Okay, girls, hit me with a quick one.
• Listen, I thought we'd kick things off with a quick Mass.

Some examples from the web:

• Right. You mentioned your new lab here has a quick turnaround time.
• Tell him we need a quick turnaround and to push it to the front of the line.
• I'll need a pretty quick turnaround on this if you decide to go for it.
• 13-hour flight to Tokyo, 13-hour turnaround, quick 13-hour flight back home.
• Don't count on a quick rescue.
• To ensure and maintain high levels of citizen participation, it is crucial to count on a quick procedure.
• I was on a quick leave... but l decided to evade and go back to crime.
• I'm just going to go on a quick trip and then...
• You two co-operate on a quick ceremony, for the sake of all of us.
• However, for the time being we cannot count on a quick solution, as the DDA talks have been suspended.
• On the other hand, you might have to take a loss on a quick sale.
• You and I will embark on a quick session of heart rate meditation, focusing on conscious breathing and opening the heart chakra.
• So I need somebody who can put me on a quick catch-up course on how to do something like that, and lead me through the maze of how one does something like this.
• But in any case, what I'm going to do in my little bit of time is take you on a quick tour of some of the things that we talk about and we think about.
• Well, if it's not cholera, then based on a quick Internet search, the other explanations in decreasing order of likelihood are Hirschsprung's Disease, botulism, a 30-foot tapeworm or accidental ingestion of chrysanthemum blossoms.
• He went on: What is the use of a European technology university producing innovative ideas if we are not able to agree on a quick and easy patent system?
• My guess is based on a quick count. Guess?
• We need a quick Armenian political win.
• Inspector Boxer Is Expecting A Quick Turnaround,...
• My recommendation would provide a quick solution.