If one believes that the members of an elect are selected without reference to anything at all "about" the person elected, I maintain that this amounts to "random/arbitrary election". It is simply incoherent to claim that God elects based on "his good pleasure" in a manner that it is entirely agnostic to the properties of the person elected - either their "internal" properties (e.g. a nice person) or their "situational / relational" properties (e.g. the place the person was born or who they will meet).
Here is another way of showing that truly unconditional election really amounts to random election. I will assume the truth of unconditional election and see where it leads:
1. God elects Fred according to "His good pleasure" without reference to anything about Fred.
2. God does not elect Joe with this decision also made without reference to anything about Joe.
3. But since God's election of Fred, to serve His (God's) good pleasure has nothing to do with anything that differentiates Fred from Joe, then God's good pleasure would have been equally well met if Joe had been elected and Fred passed over. Why? Obviously because the achievement of God's good pleasure is independent of Fred's or Joe's characteristics. So electing either one would achieve the same "good pleasure" - it has to - by the very nature of the assertion that God elects unconditionally.
4. Therefore election must be random.
Of course, I am not claiming that I believe in "election" at all - at least in the sense of "God pre-determines that a subset of people will be saved". I do not actually believe this.