There are some things that are network wide that will most like not change (deemed status-bydesign), but anything specific to TeX.SE and it's child meta can be addressed here.
Issue now solved, thanks to an update of the top-bar
I would like to emphasis the fact that the choice of the red color for the StackExchange logo is not, imho, very successful.
Indeed, due to the red color, every time my eye comes closer to the top-left region, it triggers something in my mind like "I got a message / there is an error / Something has to be done..." which is quite disturbing on the long run.
I would rather suggest a more "neutral" color, e.g. something close to the brown-yellowish background of TeX.SE.
Apart from the ugly color of the word "StackExchange", I would have preferred to have the search field on the right.