i understand you correct vs i understand that you are correct

Some examples from the web:

• Mr Macey, am I correct to understand you wish to surrender yourself to be held here in Candleford until the prison authorities in Dartmoor can be notified?
• I understand you bought a house from Sean Corcoran last year is that correct?
• Although I understand you, Dreyman.
• I understand you volunteered for this detail.
• I understand you study the best criminals.
• I understand you're here to interrogate my patient.
• I understand you're from Missouri.
• I understand you drove Mr Bourgoyne around.
• I understand you and Leonard were good friends.
• I understand you're the previous governess.
• I understand you're representing yourself.
• I understand you found Bunkie's car.
• I understand you can locate certain items.
• - I understand you're upset.
• I understand you're her former suitor.
• I understand you betrayed Marcy's trust.
• I understand you found the trucker.
• I understand you run a gallery.
• I understand you bought Sookie's house.
• I understand you work for Adam Galloway.

Some examples from the web:

• But I understand, if the rumours are correct, that Turkey is not at present intending to take part in this meeting on 5 October.
• Ladies and gentlemen, I understand that it is annoying, but I assure you that we tabled the correct version of the text.
• I understand your point, and I understand that of Mr Nassauer, but regardless of which of you is correct we must always make sure that 15 Members of Parliament are present.
• Mr Macey, am I correct to understand you wish to surrender yourself to be held here in Candleford until the prison authorities in Dartmoor can be notified?
• I understand that dogs make good eating.
• I understand that you two were intimate.
• I understand that this is really very awkward.
• I understand that most Members agree with this.
• I understand that. I've got the record right here.
• I understand that Reggie lived in your church.
• I understand that's your profession now - tinkering.
• I understand that international banks are cooperating on developing initiatives.
• I understand that emotions are raw. I understand that.
• I understand that this is a typing error - these things sometimes happen - but I should like confirmation that the French and German texts, which leave the original text unchanged, are the correct text.
• I understand that you work for our PR department, is that correct?
• I understand that your father didn't make it through surgery, is that correct?
• I understand that not one of the 15 cases has reached a conviction.
• I understand that the directive has not yet been transposed in the United Kingdom.
• I understand that you wanted to run away because of your guilt.
• I understand that every citizen is worried.