If you want to consider EVERY word spoken by Kirk to be the literal truth then answer this:
why did Lexington, Excalibur, Hood, & Potemkin have only 1,600 crewman aboard (400 per vessel probably).
"Four starships! 1,600 men and women!"
If they had the same size crew as the Enterprise he should've said
"four starships! 1,720 men and women!"