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Ordina SQL per MI PIACE più forte?

Se intendi che col_1 è più rilevante di col_2 e così via, allora :

select *
      ,case when col_1 like '%$keyword%' then 1
            when col_2 like '%$keyword%' then 2
            when col_3 like '%$keyword%' then 3
       end as [priority]
  from table_name
 where col_1 like '%$keyword%'
    or col_2 like '%$keyword%'
    or col_3 like '%$keyword%'
 order by [priority]

Se intendevi con la maggior parte delle colonne corrispondenti, allora:

select *
      ,(case when col_1 like '%$keyword%' then 1 else 0 end) +
      ,(case when col_2 like '%$keyword%' then 1 else 0 end) +
      ,(case when col_3 like '%$keyword%' then 1 else 0 end) as [priority]
  from table_name
 where col_1 like '%$keyword%'
    or col_2 like '%$keyword%'
    or col_3 like '%$keyword%'
 order by [priority] desc