It's a very interesting point, and would not suprise me if the letter of the law supports it. I doubt it's true though because the SB stuff is more to do with watching people than planes.
Yes, filling up abroad is worth doing but you have to add up the total cost of the flight: hour based servicing, any timed parts, engine fund, prop fund, etc. I have looked at it and it's possibly worth doing if you live very close to the CI.
For SB you need just a fax. They like to call you, often in the early hours of the morning, with a 3-digit "permission number" but this is just a job creation scheme; you have fulfilled your legal obligation by sending the fax.