The manner in which you are using aspersion(s) here is only in the metaphorical sense of the word. An "aspersion" is either the act of sprinkling, or that which is sprinkled. E.g 1846 W. Maskell Monumenta Ritualia Ecclesiae Anglicanae I. 209 St. Peter..baptized five thousand on one day; but this must have been by aspersion. (OED).
It is only when you get to OED senses 5 and 6 that you see reference to the innuendo sense. And in only a few of the examples given, as you will see, are they "cast".
- The action of casting damaging imputations, false and injurious charges, or unjust insinuations; calumniation, defamation.
1633 G. Herbert Temple: Sacred Poems 89 Who by aspersions throw a
stone At th' head of others, hit their own.
1781 W. Cowper Friendship xvii Aspersion is the babbler's trade,
To listen is to lend him aid.
1873 E. M. Goulburn Thoughts Pers. Relig. iv. xi. 347 Imperious
aspersion of God.
- A damaging report; a charge that tarnishes the reputation; a calumny, slander, false insinuation. Esp. in the phr. to cast
aspersions upon.
1596 Spenser View State Ireland Pref. 2 Which may seeme to
lay..any particular aspersion upon some families.
a1661 T. Fuller Worthies (1662) Bristol 37 As false is the
Aspersion of his being a great Usurer.
1692 King James II Let. 2 Apr. (BL Stowe 158 f. 61) Even that
precatuion [having witnesses at the prince's birth] was not enough to
hinder Us from the malicious Aspersions of such as were resolved to
deprive Us of Our Royal Right.
1749 H. Fielding Tom Jones IV. xi. vii. 155 I defy all the World
to cast a just Aspersion on my Character.
1859 ‘G. Eliot’ Adam Bede I. i. v. 113 Vindicating myself from the
aspersions.