I know many, many electricians and they are great at wiring and know how to solve many, many issues.
Still they learn different material that I learned getting a BSEET.
An electrician knows way more on how to physically hook stuff up, conversely someone with an engineering degree probably knows way more theoretical and math than an electrician will know.
If you know codes you will also know many codes have nothing to do with safety at all, but to keep a common way to do things so everyone does them the same. Just because it does not meet code does not mean it is not safe, it just means it is not the accepted way to do things. Still follow the codes and you will not have any heartache later.
Use your CT 33 with a router plugged into the CT and it will work, until you make a heavy cut and blow the fuse. If you think different you have simply not tried it. I put my router and CT's on different circuits for that reason long ago.
So though a 20 amp circuit is all that is required to run the vac with a router plugged into to it in reality it only works for turning the router on and only making very small cuts. Make a few deep cuts and forget it, the 20 amp fuse will pop, mine always did.
So the OP has a valid idea on trying to set something up to avoid this.
Doing electrical in your home is both safe and simple(and allowed by every county in IL)and is not rocket science like the unions and counties would leave you to believe. The funny thing is I have more experience and schooling then any inspector I ever met. An inspector is usually an underpaid county employee and most any licensed electrician should be trusted more than an inspector.
Actually, the inspectors do not even need college(at least when I was one) , all they do is read the same codes we as homeowners do. They pass simple tests any homeowner could as well if they studied the same packets the inspectors are given weeks before the exams.
Don't be afraid of electricity just respect it and follow the codes.