The build time of keep emplacements as the Delhi Sultanate is affected by the research speed modifier (ie. x5 build time without the influence of a mosque).
This does not seem like intended behaviour, as they are not techs and are not free, and emplacements in outposts always have the normal build time.
Screenshots:
Within mosque influence + 15 garrisoned scholars:
I reported this as well last week and got a dev response, so they know.
In the meantime, just remember to always build a mosque beside your keeps! It’s annoying to have to spend the extra wood but on the plus side if you have more than 9 scholars your emplacements are extra fast.