We're not with EDF, but British Gas dual fuel. I make sure we're never on standard tariff, which is the most expensive, but switch to a new fixed price tariff before the previous one runs out. I do look at price comparison websites, but I also subscribe to "Which" (Consumer Association) and read their customer satisfaction reviews. So very often, the companies offering the cheapest tariffs seem to be the least reliable/most complained about! (And incidentally, same applies to cheapest broadband/phone/TV packages!)
I am therefore not convinced that repeated switching is a good thing: too many tales of no sooner have you switched than they put the price up, and also people ending up being billed by both companies and having to go through months or years of wrangles with the switched-from company to get their money back. We have only rarely had any problems with our supplies in over 30 years in the same house and with same suppliers, and any service required has been good and prompt, so "if it ain't broke, don't fix it".
We do have a smart monitor, but it wasn't very smartly sited by the engineers who brought it: frequent drop-outs as it was too far away from the meter. After moving it twice, it is now somewhere among the clutter on my husband's desk, but now only 3ft and one brick wall away from the meter, but it rarely gets looked at! Haven't noted any significant reduction in our bills, but then we always were careful about switching things off.