The same thing willl happen, 0.25 equivalents of LAH (ie 1 eq of hydride) will be consumed in deprotonation of the acid. The point is that LAH will still react with the aluminium carboxylate,
RCOOH ---> RCOOAl-H3 ---> RCHO-OAl2 ---> RCHO --etc.--> RCH2OH
whereas a grignard will not react with RCOOMgX formed by deprotonation.