Think hard. Electricity is four times the cost of gas. (look at the kWh rate cost on your bills, and point them out to your partner).
Not really in use, as with electric there is no need to get rid of the burnt gas, so it retains the heat far far better than gas, it also does not warm the kitchen as much, and does not require the kitchen to have forced ventilation to get rid of the exhaust from gas.
On top of that you can get better control, my electric over you can select top, back or side heating, with our without a fan, with features like closed door grilling, better versions also offer steam. Mine has 12 options for how the oven is heated. Of course the same is true of solid fuel, where the combustion air can be drawn from outside, and the exhaust is always directed up a flue, and setting of the dampers can direct how the oven is heated, so not unique to electric.
As to power a stand alone cooker is normally 32 amp, and the oven in a stand alone cooker tends to use the ability to switch on multi-elements together, however built in ovens are normally limited to 13 or 16 amp, so functions like closed door grilling use a time share system, and it does not work as well as same function in a stand alone cooker.
Most of the EU have 16 amp supplies, where UK have 13 amp supplies, so it depends on the market aimed for if it needs 13 or 16 amp, the BS 7671 suggests non portable items over 2 kW should have a dedicated supply, however we seem to ignore that, with washing machines, tumble driers, dish washers all being simply plugged in. Main point is plug needs to be in free air or forced draft or the fuse can cause plug to over heat.
There are ovens which use more that 16 amp, normally double ovens, but it would depend on which oven selected to if a dedicated supply is really required.
Since you live in England kitchen is not a special location, it is in Wales, and since the CU is full you can't have a new circuit, you can only add on to an existing one, so it seems Part P will not stop up DIYing the job. I am sure that is not in the spirit of the law, but if a MCB is changed, or a new cable used, that does not make it a NEW circuit as the circuit already existed, you have just altered an existing circuit. This does not mean no requirement to inspect and test, but does mean unless you want to change the CU the law is not stopping you.
There is no difference to electric and gas as far as isolation goes, it may be nice to have a local gas tap, or electrical isolator, but not required, since the clock stops when you turn off the power, most people never turn off the isolator, with a hob it was nice to have an isolator which could be used in case of fire without reaching over the cooker of course, but with modern induction hobs setting anything on fire is hard, and they auto disconnect anyway at a set temperature, at least mine does.
There was a case for gas, but today only reason for gas is to use a wok, everything else electric gives better control and heats the kitchen less, so costs less in air conditioning or if not got an AC is nicer for the cook to work in.