Normalcy or Normality?

An interesting comment from 1929 is given in the Oxford English Dictionary:

If..‘normalcy’ is ever to become an accepted word it will presumably be because the late President Harding did not know any better.

OED gives the author as G. N. Clark, writing for the Society for Pure English.

"Normality" means the state of being normal.

"Normalcy" was used by Warren G. Harding in his 1920 election campaign called "Return to Normalcy." When pointed out that the word was a mistake, Harding said he couldn't find the word "normality" in his dictionary. Before his gaff, "normalcy" was used as a mathematics term. In the 90 years since Harding misspoke, the term "normalcy" has become widespread (in the USA, at least) either as an example of a mistake or as a valid synonym for "normality."

I suggest not using "normalcy" unless you know what you are doing, because it is still seen by many as a sign of ill-education.

normalcy
1857, "mathematical condition of being at right angles," from normal + -cy. Associated since c. 1920 with U.S. president Warren G. Harding and derided as an example of his incompetent speaking style. Previously used mostly in the mathematical sense. The word preferred by purists for "a normal situation" is normality (1849).

(Source: Etymology Online)

Harding's usage:

America’s present need is not heroics, but healing; not nostrums, but normalcy; not revolution, but restoration; not agitation, but adjustment; not surgery, but serenity; not the dramatic, but the dispassionate; not experiment, but equipoise; not submergence in internationality, but sustainment in triumphant nationality.

Fowler's Modern English Usage, 3rd edition:

It may come as a surprise to many people that the competing abstract nouns normalcy, normality, and normalness all entered the language at approximately the same time, in the middle of the 19C. The surprise is perhaps reduced when it is noticed that the adj. normal itself, though recorded in the 17C. in the sense of 'rectangular', did not acquire its modern everyday meaning until about 1840. So what we are dealing with here is a group of modern words that has hardly had time for the customary processes of assimilation or rejection to have taken their course.

What is interesting is to look at two different dictionaries from 1828: 1) Johnson and Walker's Dictionary of the English Language, and 2) Webster's.

The obvious answer should be use of the noun "normal." There is no need for either "normalcy" (which is not a word) or "normality."