Existe uma maneira de generalizar esse código com genéricos?

object ListInt {
  def unapply(o: Any): Option[List[Int]] = o match {
    case lst: List[_] if(lst.forall(_.isInstanceOf[Int])) => 
      Some(lst.asInstanceOf[List[Int]])
    case _ => None
  }
}
object ListDouble {
  def unapply(o: Any): Option[List[Double]] = o match {
    case lst: List[_] if(lst.forall(_.isInstanceOf[Double])) =>
      Some(lst.asInstanceOf[List[Double]])
    case _ => None
  }
}
object ListString {
  def unapply(o: Any): Option[List[String]] = o match {
    case lst: List[_] if(lst.forall(_.isInstanceOf[String])) =>
      Some(lst.asInstanceOf[List[String]])
    case _ => None
  }
}

val o: Any = List("a", "b", "c")
o match {
  case ListInt(lst) => println(lst.sum)
  case ListDouble(lst) => println(lst.product)
  case ListString(lst) => println(lst.mkString("(", ", ", ")"))
  case _ => println("no match")
}