While arguably all mages will get Deathcap every game (regardless of mode), in non-urf SR
is picked much more infrequently.
In Diamond solo queue, Luden's has a popularity ranging from 5-7% of games. That means it is purchased by one champion approximately every other game. Therefore, it can be said that Luden's is purchased by one out of four mages.
Also in diamond solo queue, deathcap has 22% popularity. This means 100% of ap mids purchase deathcap. In URF, that number is slightly lower due to games finishing much faster, but it can be inferred that deathcap would be purchased on 100% of mages who built like an ap carry if they had the necessary time.
In my 10 games of URF, there were 47 mages who built like an ap carry. Out of those 47, 32
were purchased. That is a 69% pick rate compared to a 25% in ranked SR. Meanwhile, Rabadon's sees no increase or decrease, staying stable around 100%.
The other three Luden's were purchased on
,
, and
(built only two damage items).