Oh, it's my favorite. <3
Uh, guys. POTUS is telling us that the dead astronauts are still alive. He use the word 'inspire' when the correct word should be 'aspire.' "โฆto which they continue to aspire." means they are still alive. A dead person cannot continue to aspire.
What about the "to which they continueโฆ"? You would have to change that whole sentence too.
'aspire' takes the preposition 'to.' cf. "to which"
'inspire' takes not preposition, only a direct object.
No, it is not used correctly. The appropriate word for that phrase is 'aspire.' Otherwise, you have to rewrite the entire phrase.