"make no pretence" is correct and usable in written English.
You can use it when you want to emphasize that no attempt at deception or insincerity is involved in an action or gesture. Example: I'm sure he's telling the truth - he makes no pretence about it.
I make no pretence about that.
I make no pretence about the stuff we used to do".
They make no pretence to be interrupting drug trafficking itself but they do claim to have restored a degree of tranquillity to daily life.
Shia Muslims in Bahrain have often misused the word "genocide" to describe their own democratic struggle – as if the government is engaging in mass slaughter, which is not true – but the authorities, in whose custody at least four prisoners have died since February, all apparently after being tortured, make no pretence at being a democracy.
These make no pretence to making banking safer, but reflect politicians' anger at banks and suspicions of those who run them.Britain, for long the most enthusiastic champion of financial deregulation, is going further still, pondering whether banks' retail arms should be so tightly regulated that they become little more than public utilities.
During his Desert Island Discs interview, Morgan added: "I'm quite happy to be parked in the corner of tabloid beast and to have to sit here defending all these things I used to get up to, and I make no pretence about the stuff we used to do.
It makes no pretence to intelligence.
He makes no pretence at deep analysis or intellectual theorising.
Healey, rather like Alan Johnson, made no pretence to economic expertise.
Johnson made no pretence to be scouring the English-speaking world for dialectal words and variants.
Its "peacekeepers" have made no pretence of protecting minorities in Abkhazia and South Ossetia.
