Costco where I live WILL NOT install two new tires on the front, period. Why ... ?
Because installing the new tires on the front will give those front tires more grip in deep water and / or snow. And possibly, in a worst case scenario ( heavy rain, high speed corner, icy highway) lead to oversteer / or a spin. And most drivers don't do oversteer very well ... and they tend to sue when they crash ! The automotive rule of thumb is that understeer is the driver's fault, you were going too fast for conditions. Oversteer is the car's fault ... not the drivers ! We all know that isn't the case in every situation, but tire installers don't want to ever have the finger pointed at them in a crash lawsuit.
Assuming the replacement two tires are identical to, or very similar to the ones being replaced, the crucial variable is how worn the rear tires actually are. At the wear bar rear tires with new fronts is potentially dangerous in the wet. 1/2 tread or more on the rears, less of an issue.
I once put two new premium winter tires on the front of a FWD car with 1/2+ worn high performance all seasons on the rear ... huge mis-match in snow / ice traction. I found the car to be " sort of fun ... think DRIFT mode " at low city speeds, but un-driveable at highway speed. One 100 mile highway drive on a snowy, cold winter day, where my top speed was maybe 40 mph (everyone else 60+ ), and nearly spinning off the road like 50 times, led to the purchase of matching rear tires. Lesson learned !