User blog comment:Deedlit11/Ordinal Notations V: Up to a weakly Mahlo cardinal/@comment-11227630-20170802003853

I've seen some other definitions of weakly Mahlo. From Cantor's attic it's "A cardinal κ is weakly Mahlo if it is regular and the set of regular cardinals below κ is stationary in κ". What's the difference?

And what if the definition changes into "A cardinal κ is 'weakly Mahlo' if it is uncountable regular and the set of uncountable regular cardinals below κ is stationary in κ"? (0, 1 and ω are regular but not uncountable)