Peat use by gardeners is a minuscule amount & really doesn't justify its banning.
Unfortunately the main issue with the argument is that this statement is false
"Currently, nearly three million cubic metres of peat are sold for horticultural use every year in the UK, one third of which comes from UK peatlands. The main users are amateur gardeners (66%), followed by industry (34%) and a small percentage by local authorities (<1%) (Defra 2010)."
That peat bogs take millions of years to establish become pretty minor from there.
The peat ban is intended to move to agriculture, fairly quickly, just the home gardener is the first, as the easier to shift.