What inspired this wish list request?
The New Formula column submenu in the column right click context menu are very useful to quickly generate new formula columns.
But the user is somehow "lost" if the desired function is not available or if he want to generate a special function.
Then he has to generate a new column, and add a function manually.

No big issue ...
But let's look at the Filter Col Selector right click context menu, e.g. by right click on a column entry in the Summarize Dialog.
There is an additional entry Formula ...
which allows the user to create a new formula column, just starting with the identity
formula and waiting for further user input:f = originalColumn

What is the improvement you would like to see?
Add such a Formula ... entry also to the New Formula Column Submenu of the column right click context menu.
The new column should be called orignalColumn 2.
Why is this idea important?
It gets much easier to generate a new formula column.
The identity function is an ideal starting point.