They also weren’t active while the Titan itself was, so that’s something which is different with this one, and hence a case to be studied (potentially).The remaining spires at Taranis don't seem to do anything.
The remaining controls are only a hassle for a cleanup crew, as they no longer launch attacks following the Titan’s destruction. Unless the spire prevents destruction of a heart, which would necessitate it to be taken out - it’d be good to know that too, I suppose.