Ticketmaster actually experimented with this https://www.aeaweb.org/articles?id=10.1257/mic.20180230
They don't seem to mention the most obvious reason: the same companies profit from both the primary and secondary market. Why would TicketMaster want to reduce the number of resales when it collects fees on them?
That's not true. Ticketmaster has a monopoly (or near-monopoly) on the primary market. On the secondary market they have a fraction of the market; the dominant players are StubHub, SeatGeek, and Vivid. Furthermore, most of the revenue from primary ticket sales goes to the venue and the artist/promoter, and they are usually completely disintermediated from the resale market.