The phrase "a better impression of" is correct and usable in written English.
It can be used when discussing how someone or something is perceived or understood in a more favorable light.
Example: "The presentation aimed to create a better impression of the company's commitment to sustainability."
Alternatives: "an improved perception of" or "a more favorable view of".
"Bringing them under the FCA regime has given a better impression of the industry," said Hargreaves.
Others pointed to a better impression of the Police Department and its dealings with minorities.
But the staff was so eager to make amends that I came away with a better impression of the hotel than if nothing had gone wrong.
Even if they tried, I don't think our political rulers could have given a better impression of a scandalous cover-up.
This shot gave a better impression of the size of the town than the frequently used establishing long shot from the hills.
Toast.net, for instance, lets the user try downloading a variety of files from different servers scattered throughout the world that gives a better impression of how performance may vary.
In general, having fewer papers in highly respected journals tends to give a better impression than lots of papers in "lesser" journals.
So we're left with memories, of the kind novelists convey better: "It is an old timetable now, disintegrating at its folds, and headed 'This schedule in effect July 5, 1922.' But I can still read the gray names, and they will give you a better impression than my generalities of those who accepted Gatsby's hospitality".
Glackens (1870-1938), the weakest painter of the five, makes a better impression with his cartoony drawings of boys at play, like "Patriots in the Making" (1907), a Fourth of July scene of youths exploding firecrackers, watched by their elders from tenement fire escapes.
However, when the top 10% of the most successful apps are removed from the data set, the numbers skew much lower, giving a far better impression of what the iPhone industry looks like for most developers.
Thomas didn't come away with a significantly better impression of Biden, believing that the chair had privately offered him his support only to eventually vote against his confirmation.
