It's obvious that magnetic tape media performs IO operations as well as HDDs and SSDs, although this storage device is not designed for a random access pattern.
LTO standards define maximal data transfer rate (also known as throughput) measured in bytes/sec for every LTO generation. But I wasn't able to find any information about IO rate with exception to this paper claiming that
Tape drive is available with 1000 IOPS
Also I'm curious if some kind of elementary entity similar to HDD's sector and SSD's block of pages exists in a magnetic tapes world, because its size directly impacts throughput:
Throughput = IOPS * BlockSize