The phrase "a larger point of" is correct and usable in written English.
It can be used when discussing a broader or more significant idea or theme that is being referenced or illustrated.
Example: "While the article focuses on the specific case, it ultimately serves to illustrate a larger point of societal inequality."
Alternatives: "a broader perspective on" or "a more significant issue of".
Leaving a small town requires an embrace of a larger point of view, but a town like Dinuba remains forever embedded in an either/or way of life.
As part of a larger point of discussion, Panos explained what Microsoft is trying to do and how he views its progress.
When one looks at it from a larger point of view, however, they begin to see the cracks in our society spread until they get bigger--causing a divide of some sort.
Her criticism arises from her thinking, her experience; it is representative of a larger point-of-view.
The precocious columnist's only alternative is to take a bunch of neat conclusions and to try to make a larger point out of them.
A letter from one benefit manager, Catalyst Rx, to pharmacies said they would receive a large point-of-sale discount on brand-name Lipitor to beat the price of generic competitors.
They span three hospitals (Duke University, Duke Regional and Duke Raleigh Hospitals) and include over 40 different specialized work centers, a large point of care testing program and phlebotomy throughout Duke.
The scab refs are bad because they're not qualified refs; the qualified refs are not on the field because the owners locked them out over a small amount of money and a large point of fatuous-if-deeply-held anti-labor principle; they did this because they believed fans would come back anyway.
A large point of difference, however, comes with the claim that such nucleic acid-free systems are capable of Darwinian evolution.
There's a larger point about the value of ideas big and small.
This display of humanity is emblematic of a larger point about Louisville's team.
