As u mentioned cel type talks about size of a cell (very small, small, medium and large) ,
This information will not help to UE any how ,But this info is help ful for Neighboring ENBs,so that they can know from where the UE came and can judge the handover failure (due to interference too ).
This we send in UE history info which contains the info about the last visited ENODEBs .
If X2 is there is there Neighbour ENB get this info history info in X2- HandoverRequest message otherwise it can also come in sourceenbtotargetenb transparent container in S1AP messages