There's no question that as technicians repairing consumer electronics, we have to be able to use a regular isolation transformer for the UUT and sometimes even connecting the scope ground to the "hot" ground. This always makes me nervous, and I always look carefully for any other ground path so as to avoid unpleasant surprises. I'll even check the safety of the ground connection using a 1/8 ampere fuse if I have any doubt.
Tektronix has a couple interests here which work against us. Obviously they want to sell more test equipment, but also they cannot control who uses their equipment and the pool of potential lawsuits is very large. Even being an unknowledgeable or incompetent technician does not protect Tek from lawsuits. Damn lawyers - a rant for another day...
Arfa (Geoff) is very correct that a power transformer in the scope will never suffer any cumulative damage from proper us of an isolation transformer.
I'm pretty sure the earliest Tek model only had a two-lead power cord, and their power transformers have held up fairly well the past 50 years.
Mark Z.