I agree FVM, that schematic wasn't my choice of R's
A better choice is the use of MAXIM's high side sensor chips. They key is to use 100mV full-scale for current sensing, which for 10A translates to 0.1/10 = 0.01 Ohm. To means you can choose a length of copper that will not heat up with the resulting 1Watt of heat dissipation 10*10A*0.01Ohm=1W and use twisted pair for the 2 signal wires coming back to the current sensor. Filtering is advised with series resistors in each leg and a big cap across the sense +/- input.
Note the MFG DOCUMENTATION listed on this page for more details and choice of chips.
https://www.digikey.com/product-detail/en/MAX4374FEUB+/MAX4374FEUB+-ND/1702192
Since copper has a thermal resistance, that may change your resistance, calibration can be done with a 10A load and tune the length for 100mV drop to achieve 0.01 Ohm. This example uses a thin copper track
Since heat loss is major factor. I would re-consider the 100mV drop requirement and go towards 100mW dissipation in the copper track, which means 0.001 Ohm drop either on board , or perhaps external, short length of thin copper relative to the heavy cable, close to the circuit board.
Sense Cable pair must be at right angles to the current to avoid inductive pickup.
The tradeoff is input offset voltage of the chip and offset voltage due to copper temperature coefficient, so more details on your layout and wiring method is required. The resistance temperaturecoefficient of copper is fairly high (approximately 0.4%/°C)
( I recall using this method to monitor up to 100kA (100,000A) on a diffusion bonder which welded zirc-steel welding two cylindrical tubes together with forced water cooling. I used two screws in the solid copper trunks of the welder for my current sense R and used shielded twisted pair at right angles to the flow of current leading to differential amp. ) It was a monster welder with 16" diameter copper electrode wheels 2" thick. and a smaller wheel for inside the tube with a huge step-down transformer from 480V to 4V. But it worked due to very balanced wires and high CMMR.