Announced as 1989 Christmas single in info sheet #4.
The soundtrack L.P. will be out September. […] We also have a Christmas Record with Children’s Choir (your worst fears will be realised).<span class="su-quote-cite"><a href="http://klf.wikia.com/wiki/KLF_INFO_SHEET_4" target="_blank">KLF Info Sheet 4</a></span>
The original version of No More Tears featured on the White Room Soundtrack does indeed feature a Children’s Choir so it is more than likely that this version was meant for release before The KLF’s change of plans.
