Save your precious time vs Save your valuable time

Some examples from the web:

• Thank you, Mr Corbett, we shall save precious time.
• Very sorry if it took away from your precious time together.
• Seeking revenge is a waste of your precious time.
• Mr. Woodroof, I assure you that that would be a waste of your precious time.
• Why waste your precious time here?
• Senhor Bond, one moment of your precious time.
• So I've stolen 23 minutes of your precious time?
• I'm sorry to be taking up so much of your precious time, Mose, but she's your aunt too.
• Right. He's wasting your precious time, so you decided to waste mine.
• May I thank you, Holy Father, for bequeathing to me your precious time.
• To save your precious city, yes.
• I'm giving you a chance to save your precious conjugals.
• Killing me won't save your precious Lycan.
• To save your precious secrets, or to trade them for Katya and her family.
• And there was so much I didn't manage to say when I turned 40 - and much has happened since, so I think it's reasonable - that I be allowed to steal ten minutes of your precious time.
• May I thank you, Holy Father, for bequeathing to me your precious time.
• And you two will do anything you have to do to save your precious Tinny.
• Hold onto your precious humanity, batman.
• Your precious life would make everything right.
• And too scared of losing your precious independence.

Some examples from the web:

• Our tailor-made individual all-round service saves valuable time:
• But in order to save the court's valuable time...
• I didn't think you would give me your valuable time like this.
• I think we've taken up enough of your valuable time, ms.Taylor.
• I'm sorry to take up your valuable time.
• A waste of your valuable time, sir.
• Thank you for, giving me some of your valuable time.
• Apart from this, the report fully supports the Commission proposal; and therefore I feel that I need not take up any more of your valuable time.
• Mr Selfridge, thank you for giving us a moment of your valuable time.
• Toward a future point when you tell me my thinking's so consistently wrongheaded it's a waste of your valuable time having to deal with me.
• I'm told we had a special call from Selective Service headquarters, asking us not to waste any of your valuable time.
• Deputy Gutterson, I hope you're not suggesting that protecting the integrity of our national currency is a waste of your valuable time.
• Well, I prefer not to waste your valuable time, Dr. Grey, but what you did...
• She says she and Drake send their thanks to you for giving up so much of your valuable time.
• Thank you, sir, and I apologise for taking up your valuable time.
• Actually, we won't take up any of your valuable time.
• Thank you for taking your valuable time off to see me.
• I don't want to take up too much of your valuable time, but you should know that your foreman, Luke, here, he has some kind of court TV deal.
• So you can spare me a few minutes of your valuable time, then?
• I'm Richard Wehlner. Thank you for your valuable time.