Jace158's original query was about grout cracking and many said 6mm ply overlay is the problem - and that jace158 has to start again using cement boards- some even said need to remove the ply overlay first.
That's all a massive messy job for both jace158 and his customer. I'm doubtful that is necessary and hence suggested to first try careful re-grouting. There's no mention of cracking of the tiles, so jace158's problem sounds minor. Tiling onto ply and onto chipboard floors can be successful.
I agree in bathrooms, particularly when using electric underfloor heating, then thermal backer boards (eg Warmup Insulation boards) are well worth laying. But I maintain that 6mm cement backer boards won't be a cure for flexible ply or chipboard floors -cement boards don't add much flexural strength to the existing floor, compared with a ply overlay (which only needs to be thoroughly clout nailed).