Vandalizing Marquees
Brachylog, 7 bytes
{|∧Ṣ}ᵐ⊇

Try it online!
I should not be surprised to learn that it's considerably faster if I put the ⊇ at the end. Takes the original marquee through the input and the target through the output.
{   }ᵐ     The input variable, with each element
 |         possibly
  ∧Ṣ       replaced by a space,
      ⊇    has the output variable as a subsequence.

Can also go the other way around, for another two bytes: {|Ṣ∧l₁}ᵐ⊆