I wouldn’t. Two studies opens the door to publication bias concerns and muddles the ‘replication’: rarely do people do a straight replication.
If you put the general significance standard at P<0.005 you will even further decrease the amount of straight replications. We need more straight replication instead of less.
A single study can wrong due to systematic bias. One researcher could engage in fraud and therefore get a P<0.005 result. He could also simply be bad at blinding his subjects properly.
There are many possible ways to get a P<0.005 result by messing up the underlying science in a way that you can’t see by reading a paper.
Having a second researcher reproduce the effects is vital to know that the first result is not due to some error in the experiment setup of the first study.
If you put the general significance standard at P<0.005 you will even further decrease the amount of straight replications. We need more straight replication instead of less.
A single study can wrong due to systematic bias. One researcher could engage in fraud and therefore get a P<0.005 result. He could also simply be bad at blinding his subjects properly. There are many possible ways to get a P<0.005 result by messing up the underlying science in a way that you can’t see by reading a paper.
Having a second researcher reproduce the effects is vital to know that the first result is not due to some error in the experiment setup of the first study.