No, it shows that you were on the mild side of a very deep low bringing warm southerly winds, and the temperature will drop by a good 10C by this evening. Nothing "crazy" or "mixed up" about large temperature variations either side of a winter storm.
In summer, it is light for most of the time with the Sun getting higher in the sky at midday than at any other time of year. This leaves us plenty of scope for solar heating even if there isn't a warm air mass around to warm things up.
In winter, the Sun is only above the horizon for a few hours in the middle of the day here in Scotland and is never high enough in the sky for it to be to significantly contribute towards bringing the temperature up on its own which means that we therefore have to rely on a supply of mild Atlantic air and the maritime effect in order to get any warmth at all (otherwise it would probably be as cold here is in Siberia).
Now, you have stated that I described is technically speaking, not actually crazy and mixed up, and give a very good and valid reason for why that is the case. That reason however, is something which I have always known all along. However, this still doesn't take anything from the fact that when you consider the differences between winter and summer that I have described and take that into consideration, the very concept that it is even possible for one night during the winter to be even warmer than a certain other day during the summer (and for one day in summer to be cooler than a certain other night in winter) just sounds crazy and mixed up to me, even if it technically isn't. That is why I will continue to see that as being crazy and mixed up in my books.
The north of Edinburgh, usually always missing out on snow events which occur not just within the rest of Scotland or the UK, but also within the rest of Edinburgh.