Saining is not the Gaelic alternative for Smudging, and never was.
Smudging is a sacred rite, and part of the various closed practises that belong to the indigenous peoples of America.
Saining is not closed practise, but it is a very particular and traditional rite practised by the Irish and Scottish people. Saining is a specific ritual, and not just another word for smoke cleansing.
There are no alternatives to Smudging because Smudging is not for anyone outside of the indigenous communities to look for alternatives for.
One is not an alternative for the other.