Is "with respect to" wrong?

Have a look at points 8 & 9 here.

While the expression "with respect to" does exist, and is synonymous with "in respect of" ('concerning or in relation to'), it also has a slightlу different, pragmatic, usage: with respect to can be a means of making a text cohesive and coherent (giving reference to something already mentioned or introducing a new subject).

Both in respect of and with respect to are generally used as complex prepositions in formal texts (here is an example of the former).

You can google more using inverted commas and adding 'bbc' to get a reliable source.

The phrase "with respect to" is commonly used in mathematical proofs. In fact, many would consider it jargon, as it is used in the description of a relation between two variables. For example, "a function f over the value x, with respect to the value y", as a way of expressing f(x) = y in words. To call the phrase into question is to disregard literally hundreds of years of existing mathematical literature. Whether or not it's prescriptive, the extant works make it descriptively part of the English language.