If I were your realtor, I would recommend countering with an extension of the inspection contingency to allow the BUYER to purchase an ESA inspection and report if they feel they really need/want one. Where I am at, it’s the buyers responsibility to provide almost all of the inspections if they want them.
If so, then you will be in a position to address any specific issues that that report uncovers. When the electrician is there doing that inspection, (if they are qualified to do the repairs) mention the double tap to him/her, and ask what it would take to “fix” it right then and there. (Who knows he might do it for free, or he might say like Cookie did that it’s not a big deal and not to worry about it.) As for the refrigerator not being on a dedicated circuit, who cares? That wasn’t code when the house was built, and you as a seller aren’t required to make code now.
You are correct that they are asking for a blank check (US :p) on the electrical system. Let them put out the funds for the extra inspection. Then with that report in hand you have the negotiating power of knowing exactly what they are asking for, and you can decide what to do then.
This is similar in concept as a buyer asking the seller pay for a home inspection and then fix everything the home inspector calls out. No seller (or sellers agent) should ever agree to that.
(By the way, as you are probably aware, if you do counter with a different proposal than the buyers requested, they may be in a position to walk away from the deal. If you think this is a good idea, be sure to discuss the possible consequences with your Realtor. I’m sure things in Canada are more differerent than just the way we spell the word “check”.)
Hope that’s helpful. Good luck to you.