If we want to define a case class that holds a single object, say a tuple, we can do it easily:
sealed case class A(x: (Int, Int))
In this case, retrieving the "x" value will take a small constant amount of time, and this class will only take a small constant amount of space, regardless of how it was created.
Now, let's assume we want to hold a sequence of values instead; we could it like this:
sealed final case class A(x: Seq[Int])
This might seem to work as before, except that now storage and time to read all of x is proportional to x.length.
However, this is not actually the case, because someone could do something like this:
val hugeList = (1 to 1000000000).toList
val a = A(hugeList.view.filter(_ == 500000000))
In this case, the a object looks like an innocent case class holding a single int in a sequence, but in fact it requires gigabytes of memory, and it will take on the order of seconds to access that single element every time.
This could be fixed by specifying something like List[T] as the type instead of Seq[T]; however, this seems ugly since it adds a reference to a specific implementation, while in fact other well behaved implementations, like Vector[T], would also do.
Another worrying issue is that one could pass a mutable Seq[T], so it seems that one should at least use immutable.Seq instead of scala.collection.Seq (although the compiler can't actually enforce the immutability at the moment).
Looking at most libraries it seems that the common pattern is to use scala.collection.Seq[T], but is this really a good idea?
Or perhaps Seq is being used just because it's the shortest to type, and in fact it would be best to use immutable.Seq[T], List[T], Vector[T] or something else?
New text added in edit
Looking at the class library, some of the most core functionality like scala.reflect.api.Trees does in fact use List[T], and in general using a concrete class seems a good idea.
But then, why use List and not Vector?
Vector has O(1)/O(log(n)) length, prepend, append and random access, is asymptotically smaller (List is ~3-4 times bigger due to vtable and next pointers), and supports cache efficient and parallelized computation, while List has none of those properties except O(1) prepend.
So, personally I'm leaning towards Vector[T] being the correct choice for something exposed in a library data structure, where one doesn't know what operations the library user will need, despite the fact that it seems less popular.