Any Tom, Dick, and/or Harold can look at the Tom62201 and see that there isn't a whole lot there. Some translucent plastic bits, some transparent plastic bits and two rolls. It's kind of like a Blueberry iMac, and a cassette tape got into that transporter from The Fly and this is what stepped out from the other side.
Now if you are like you me you see the Tom62201 and the Tom62202 next to each other and think, man it's only missing the encapsulating plastic bit. I can buy a Tom62202 and save myself a dollar. Well sir, I'm sad to inform you that there are some extra bits that the Tom62201 have that are not easily replicated just by holding it firmly. Attempting to use the refill by itself will fail just about completely.
But if you have already gone over the deep end and need to get something done ASAP and you only have a Tom62202 at your disposal you aren't out of luck. I found that if you just use the roll of adhesive and take it off the plastic bits you do end up with a convenient roll of double sided tape. Peel off enough of the end for a tab, roll out your tape sticking it to the surface as necessary. Tear your tape off from the role as necessary. When you are ready to affix your two items, put the tape roll aside and remove the backing from your item.
If you follow the Tom62201-less method it does have an advantage on large surfaces as you won't have any side of your double sided tape exposed to the elements for much longer than necessary.