You can get 10 mA RCD's, the general idea is they go up 3 times the value, so 10, 30, 100, and 300 mA, but I found a fault would often take them all out. Also, the test button on the 10 mA (Old MK) would also trip the 30 and 100 mA trips, and so many people used the test button to turn it off.
30 mA is required to protect personal, and 300 mA for fire, it is rare to see other valves today.
One can test the background leakage but, the meter cost me £35,

so not every electrician has invested in one. We are required to test tripping times, so most electricians will have an RCD tester,

mine also measures loop impedance, and will also have an insulation tester

as the figures have to be entered in the paperwork raised, so can't get away without one, but for some reason I fail to understand, other than the model I have, most cheap clamp on meters will not measure 1 mA or DC, there was it seems to be a huge jump price to get a meter to test RCD leakage, this is changing, this first one
goes down to 0.1 mA at £40, but no DC and rated at 60 Hz, the second one 1 mA £27.54, so prices are coming down, but if you already have a clamp on, it's a lot of money just to check background leakage when you are not required to record it, it should be no more than 1/3 of the RCD's rating so 9 mA, but if you have bought one of these
which cost an arm and a leg, over £100 one can see why they would not want to return to using a cheap meter, never really worked out the advantage of a open jaw meter, my cheap one (£35) does me.
So to stop the freezer tripping with a fault with another appliance, cost me a lot of money, I have two double RCD sockets, supplied with SWA (steel wire armoured) cable around the outside of the house from my solar panel inverter which can use solar, battery or grid power to keep my freezers running.
It may be possible to have a dedicated RCD, be it in the consumer unit, or else where, but it needs to come from a non RCD supply in the first place, never understood the name, but the CU was called high integrity, and it had three neutral bars inside.
What we need to look at is if the old consumer unit has the bits available to get up to a better standard, in some cases, you can buy a whole new consumer unit for the cost to upgrade existing. And you also need to look at the background leakage, my whole house minus central heating and three freezers is being measured with first picture at 8 mA and that is spread across 14 RCBO's (MCB and RCD combined) I never upgraded the old house, and yes shortly before moving I lost two freezers full of food, which is why this house has 14 RCBO's installed.
But as it stands we have no idea what you already have, so can't look at cost to upgrade. Spare slots etc.