Not sure panel adhesive, or anything like that is going to be any more "removable" than spot welds. Seems like it might be even more fiddly when it comes time to remove.
Then again, at least you won't have to drill it out into Swiss Cheese, so that's a bonus for the adhesive.
But if you're really thinking that you'd like to be able to more easily remove it in the future, then maybe the body panel tape or adhesive along with some rivets or bolts and nutserts isn't such a bad idea after all.
More work maybe, but if you're hoping for quicker removal in the future, or just not set up for spot welding, it might be an option after all.
Never done a core support myself though, so don't know what little pitfalls you might run into, or any downsides (strength-wise or reliability-wise) of an alternate method of fastening it to the skirts.
Good luck.
Paul