FWIW, I have compared the SE210s and the
Bose In-Ear Headphones for several hours. I was able to do this because my friend owned the Bose, and I owned the SE210s, and a pair of SE530s. I did a three way comparison for about 3 hours, flipping back and forth between a ton of different music.
What I found was that the Bose had a huge volume of bass, but that it was imprecise, and muddy. The mid and highs on the Bose couldn't match the SE210s.
I can see how someone might not listen so critically to the quality of the bass, and instead just opt for a larger amount of bass. And if that's the case, then yes, the Bose have a lot "more bass."
But for me, every time I went back to the Bose from listening to the SE210s, I felt that they sounded muddy and was disappointed by a large amount of high-end roll-off.
Hope that helps.
P.S. while I didn't compare the SE110s to the Bose directly, I have done extensive comparisons of the SE110s, SE210s, E2cs, SE420 and SE530s at the Apple store. It turns out that many of the apple stores have a Shure "demo kit" which has one of each model in it so you can do side by sides. I found they all sounded different, but consistently sounded like "Shure IEMs." So I feel confident that my comparison of the SE210s against the Bose has some merit.