You're not entitled to be president, but you are only entitled to run if you are rich. So, it is only through the transitive property that you can deduce it as an entitlement program, but you can still come to that conclusion.
Main Entry:
en??·ti??·tle Listen to the pronunciation of entitle
Pronunciation:
\in-????t??«-t?????l, en-\
Function:
transitive verb
Inflected Form(s):
en??·ti??·tled; en??·ti??·tling Listen to the pronunciation of entitling \-????t??«t-li?????, -?????l-i?????\
Etymology:
Middle English, from Anglo-French entitler, from Late Latin intitulare, from Latin in- + titulus title
Date:
14th century
1 : to give a title to : designate 2 : to furnish with proper grounds for seeking or claiming something <this ticket entitles the bearer to free admission>
en??·ti??·tle??·ment (n-ttl-mnt)
n.
1. The act or process of entitling.
2. The state of being entitled.
3. A government program that guarantees and provides benefits to a particular group:
I'm not trying to make this more complicated than it needs to be. I'm honestly not on the same wavelength as everyone else on this one.
If someone is elected president by the electoral college, they are entitled to be president, and not until. Except when congress gets involved in close elections, but that is neither here nor there.
I understand entitlement program to mean that you have the right to receive the entitlement (in this case the title of president), if you are eligible (that you meet the requirements: 35+, native citizen, 14 year resident).
Now there is tons of other shit that comes into play that is not officially required, but you damn near have to have it to get elected: Party nomination, house or senate experience, ect.)