I would be happier to stay with peat-based ones, as I don't think they've found a decent alternative YET,
but peat cutting isn't environmentally friendly, so we can't really carry on using it, can we?
The trouble with peat-free composts is that the composts are so variable from batch to batch that you don't know what results you will get. I've had composts that look very good, only for plants to die once planted in them. Using green waste, which many companies use in their composts, isn't a good idea either, IMO because of lawn clippings with weedkiller on them being added to garden waste bins. The results are much like we had with Aminopyralid in manure a few years ago.
Moorland Gold produce composts that use peat strained out of lakes and reservoirs but these are so expensive that I would certainly have to think twice (at least!) if this was the only way I could get peat-based compost, but if it came to it.....