A .01 ohm connection at 30 amps equates to a .3 volt drop dissipating 9 watts.

A .005 ohm connection at 30 amps equates to a .15 volt drop dissipating 4.5 watts.

If you could save 4.5 Watts on 100 connections, that would be 324 kilowatt hours per month saved. At $0.15 per KWH, it amounts to $49 per month saved. That's only at 30 amps. Double the current, and now you are talking 18 watts savings per connection, 1350 KWH and $202 saved at $0.15 per KWH.

Obviously, actual savings would depend on how bad the original connections and wiring were. I don't see this as a scam at all. Performance based contracting means you have to perform as claimed or not profit as desired (minus any shenanigans in the performance measurements). Do some calculations with resistance figures and electric rates you think are realistic. 0.05 ohms may be a little high for just a termination (without including wiring). There could be savings in prevented equipment damage as well. Think of how much safer homes would be if all household electrical connections got this kind of once-over by electricians vs installing AFCIs.