I used to carry the Bullet, but not anymore. The things (I had two of them) globbed ink terribly. Both pens did it, and all the refills I bought for them (official Fischer refills) did it too. You had to carry around scratch paper to wipe the pens tips with to get the globs off before starting to write anything.
I EDC a "Zebra F-301" pen now. Much cheaper than the Fischer and works similarly (but without the ink globbing). You can find the F-301's in just about any office supply store. The pen is "half sized" - the cap comes off, you reinstall it on the other end of the pen, and you end up with a full sized pen.
The Fischer claim to fame was that the pressurized ink cartridges let the pen write even when upside down. Unfortunately, that pressurization also forces ink out into globs constantly. I have little call to write upside down anyway.
FWIW, I have carried an original Fisher Bullet Space Pen for many years, lost my fair share, and I now carry a Fisher Trekker on my "key ring." The short length doesn't bother me for the instant writing instrument I need occasionally just to make a note or sign something and it doesn't get lost. Never had the problems you relate. <shrug>
FWIW, your choice is the F-301 COMPACT (as opposed to the standard F-301 which I use as my standard go to pen).