New refrigerators don't pull that much current anyway. My side by side seems to
cruise at a bit less than 2a once it gets going. Startup spikes at around 13a
for a few seconds, probably more than that for the first part of a second but a
minute or so later that drops off to 1.6 or so. When the compressor is off the
defrost fan and such are a bit over .1a that goes to .5a when the door is open
(the 40w lamp).
If you don't have an "energy star" fridge YMMV.
I am going to keep the clamp on connected for a while and see what I see over
time.
I think the idea that a fridge is a big load comes from the olden days before
they started using power factor corrected motors and better insulation.