I agree that it is perfectly safe to take a sample -- or many samples -- with a sanitized wine thief. You can be in and out like a ninja, and the beer is never the wiser (or conmtaminated, or oxidized).
I do think 3 samples 3 days in a row is a little excessive, but if that's what works for you, I see no problem with it. It just seems like a lot of work and not very relaxing to me, but if you do it right I don't think the risks are significant. For me, since I primary for 2-3 weeks minimum, unless there is some serious problem I just take a reading at least two days and as much as a week before I hope to bottle, and if it's in the ballpark of my expected FG I just take another sample on bottling day to make sure it hasn't gone down more than a point or so (I consider 1-2 points to be within the error bars of my ability to read a hydrometer accurately anyway). If either of those are unexpected readings, I'll decide how to react at that point -- which likely means more readings. But in the typical case, I take 1 sample on brewday, 1 a few days before bottling day, and 1 on bottling day.
I would never bottle without taking a reading beforehand though!
One time the damnedest thing happened, I took a reading on a sample and I got about 1.013-ish, but it was hard to tell for sure so I bobbed the hydrometer up and down once and after that it read 1.020. Try as I might, I couldn't get that sample to read anything else but 1.020. Must have been a bubble caught, but I tried to free any bubbles and didn't have any luck.
That just didn't seem right, as this had looked like a healthy fermentation and the OG was pretty low. I took another reading the next day, 1.013. That was the same as it was when I bottled several days later. Go figure. Sometimes samples just get thrown off.