With this situation, just about anything can happen. It's not a firm "No" because of that, but I'm personally not expecting one.
Previously with house replacements, we've have Scream and Conjuring turned last minute into The Purge and Hive respectively, due to losing the original IP's in one form or another while the house was being constructed. A&D had to work with the settings and scenes they had to have a replacement theme work it. You also have minor situations like 2017's HoB which had to replace the Ouija scene with the Purge, which applies to this scenario.
More recently, we've had the situation of them gaining the rights to "US" later in the season, and straight-up replacing Tooth Fairy in order to have it.
The replacement of Billie Eilish is in a unique spot. If it was pulled yet the event still went on last year, they probably would've turned it into a original "nightmares" house since that's what the general theme was for B.E. However the event didn't happen, so the house was both pulled and scrapped since the house wasn't finished...leaving that venue back to square one with over a year to come up with a new house.
Now if they still want to roll with a nightmares themed house, they totally can. But since they can do that, or any other theme -and- the fact Billie Eilish was a "Now or Never" situation...I personally don't think they'll be aiming for a music house as it's replacement.