will not be a 'globally' palindromic day,

Huh? It is a palindromic date. And that covers the whole day - I believe! If it refers to differing days in differing countries' syntax then they will celebrate the palindrome on differing days, that is all.

But not at a different time of day if you throw in the 24 hour clock (with seconds).

"T Eliott, top bard, not on drab pot toilet"