We will eventually add the SERIALIZABLE isolation level to OrioleDB, but right now that's not our highest priority. Let me explain why. At first, SSI (serializable snapshot isolation) in PostgreSQL comes with significant shortcomings, including.
1) Overhead. SSI implies a heavyweight lock on any involved index page or heap tuple (even for reads). The overhead of SSI was initially measured at ~10%, but nowadays, scalability has gone much farther. These many HW-locks could slow down in multiple times a typical workload on a multicore machine.
2) SSI needs the user to be able to repeat any transaction due to serialization failure. Even a read-only transaction needs to be DEFERRABLE or might be aborted due to serialization failure (it might "saw impossible things" and needs a retry).
In contrast, typically it's not hard to resolve the concurrency problems of writing transactions using explicit row-level and advisory locks, while REPEATABLE READ is enough for reporting. Frankly speaking, during my whole career, I didn't see a single case where SERIALIZABLE isolation level was justified.
This is generally true, but there are some additional aspects.
1. With PostgreSQL heap, you need to access the heap page itself. And it's not for free. It goes all through the buffer manager and other related components.
According to all of the above, I believe OrioleDB still wins in the case of secondary key lookup. I think this is indirectly confirmed by the results of the TPC-C benchmark, which contains quite a lot of log of secondary key lookups. However, this subject is worth dedicated benchmarking in the future.