Does Friedel-Crafts reaction fail with benzoic acid?

I know that Friedel-Crafts reaction (either alkylation or acylation) fails with phenol and aniline, due to formation of a coordinate bond between Lewis acid catalyst and the lone pair of the respective functional group.


But I have read that even benzoic acid fails to undergo this reaction. I couldn't think of a reason for this. Can anyone explain why is it so?




It could be that $\ce{-COOH}$ group is electron withdrawing hence there is an increased electron density in $\ce{-COOH}$ group due to -R resonating effect of electron from benzene ring.


Since friedel craft catalyst is a Lewis acid (electron deficient) the catalyst (anhydrous $\ce{AlCl3}$) reacts with electron rich COOH group of benzoic acid and gets bonded.


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I think Friedel Craft reaction with Benzoic acid fails because the Benzene ring is deactivated. Here electrophile is Carbocation which is a weak electrophile. So the necessity for Friedel-Craft reaction is activated Benzene ring. 


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