That's something that we can do.
However, this would be equivalent to:
@startuml
title Page 1
skinparam shadowing false
skinparam component {
BackgroundColor<<service>> #D0E0F0
}
[Factory] as factory
[Consumer] <<service>> as consumer_service
[Provider] as provider
factory --> consumer_service
provider --> consumer_service
newpage
skinparam shadowing false
skinparam component {
BackgroundColor<<service>> #D0E0F0
}
[Factory] as factory
[Consumer] <<service>> as consumer_service
consumer_service ..> factory
@enduml
The strike text won't be present (maybe it's a typo in your proposal?).
Tell us if you are still interested with this change.
BTW, a possible workaround today would be to have a external file with your skinparam definition that you would !include twice in your diagram:
@startuml
title Page 1
!include mySkinparam.txt
[Factory] as factory
[Consumer] <<service>> as consumer_service
[Provider] as provider
factory --> consumer_service
provider --> consumer_service
newpage
!include mySkinparam.txt
[Factory] as factory
[Consumer] <<service>> as consumer_service
consumer_service ..> factory
@enduml
But this is not as handy as your proposal.