No, no no no. We've only just stopped having flashbacks from January's snow and there's more on the way? The Met Office have issued warnings of heavy snow for London and the South East for tomorrow and Thursday. They're predicting 2-5cm or 5-10cm in more open areas / high ground - so zone 1 will probably get the usual dusting while transport grinds to a halt as its extremities freeze over.
This forecast is notable for specifically mentioning Kent as likely to be hardest hit: Southeastern are still deflecting flak from their decision to run a derisory service at the first hint of the white stuff, even though SE London wasn't nearly as badly hit as the West (and neighbouring TOCs struggled on). We'll be watching with interest how they react if they get genuinely heavy snow on their patch. And in other doom-mongering transport news, the national grit shortage still hasn't been rectified. Wrap up and wear sensible shoes tomorrow, folks.