I think the answer to your question is contained in this part of how you worded your question. Judas' status as the apostle who would betray Jesus is an extraordinary one that the other apostles, of course, did not also share in. This is confirmed by the fact that Judas' betrayal is framed as a specific fulfillment of specific OT prophecies (see Jesus' quotation of Ps. 41:9 in John 13:18; cf. John 17:12; Peter's appeal to Ps. 69:25 and Ps. 109:8 in Acts 1:16, 20). A component of those OT prophecies is that the prophesied betrayer would abdicate his inheritance and office by his betrayal ("May his camp become desolate, and let there be no one to dwell it") and would have his office filled by another ("Let another take his office"). Judas is replaced not just because he died, but because the Scriptures had previously spoken to that end and had to be fulfilled.