[FelixQY]

... Are you telling that the consideration of other traditions is not correct?

No Kaarine, just quoting from NM115.
Of course this sutta wasn't 'written' by the Buddha,so for example the Mahayana tradition didn't exist.
I understand this quote to mean that Buddha would have not allowed Jains,Hindu's,whatever access to the same platform.(In those days there were many spiritual practises)

I think we can practice - informed by more than one tradition.

Yes l personally agree with this,we must just keep track of the main idea.

"...some traditions tend to make some accent in some aspects and not in others so you can bring some other elements to complement your practice or your understanding.

This is so. I think this curiosity is no bad thing, again providing we don't lose the plot.