Replication by itself is not enough. You need pre-registration too. Otherwise you can p-hack the replications.
The tables are misleading too: of course p(h0=T|p<.05) is going to be about 0.50 if your power is 0.50 and p(h1) = 0.10. That is maybe the bigger problem than p-values per se. Also, he fails to compute the other cell, which is p(h0=T|p>.05), which ends up being about 0.95. The problem in that table is have no power to detect anything.
In real life, you don't know p(h0)--that's the point of doing the study. So Bayesianism doesn't really help you.
The real problem is lack of power.