i think your intentions are reasonable, micon, you want to use a linux project the way you're used to using it, in the spirit of how linux works, in particular the licensing. be careful with the word "comply," it's a charged word, i know what you meant, but in the world of mini distro's there always seems to be two levels of compliance: adequate, and ideal. (there is another, but it's not relevant here.) given the many years that roberts has worked with linux professionally, (he is not a mere naive hobbyist,) he has always complied adequately. with people stirring things up in the past about non-compliance (when all necessary, but perhaps not all "ideal" notices were absolutely used) it's only going to make people think (perhaps quite mistakenly) that you're being hostile.
one of the biggest misunderstandings (and here i sympathize) is that if you do not put a notice on your own script, it is free to use. this is a convention sometimes found online and in fact it's quite legit in many countries where software is created. you know and i know (and i believe roberts knows) that linux rests on copyleft, which rests on copyright.
including bash scripts without a copyright notice (in the united states) of course, means they are still copyrighted, regardless of the author's intentions, without permission you (technically) cannot use them. i get it. it feels less "open source." but that's never been the spirit of the way roberts does things, he's not in any level of compliance lower than the average mini livecd author, nor any level you can stress without being misunderstood.
for the smaller scripts, the good news is some of them are so simple you can consider them in the public domain. (ianal, so get confirmation.) but i'm thinking of /usr/bin/showbootcodes. all it does is cat /proc/cmdline ...since there's no other reasonable way to do that, it's public domain. i'm sure if you want to remix the other more unique scripts in tinycore you'll be able to, if you're patient. it's still rc9, and rc4 was a month ago. people always write these things and formalize them with time. if there's something specific you need and don't know where to find it, being specific ("where are all the sources?" will cause misunderstanding) with what you can't find the source to will help, as will understanding that even if all distros are a "work in progress," some are particularly.
i realize it's asking more etiquette than license, but if you want to be practical and avoid misunderstanding, my advice is stress your desire to comply further, not the author's. after all, the design was his. he's not making it proprietary, or making linux closed source or non-free-as-in-speech, and any little details (it would make me as happy as you) can be worked out with more honey than vinegar, if you're tactful, i think. step back from it, only slightly, and i don't believe you'll be denied anything you -need- for your project. and naturally i am not telling you to do this. it is merely advice from someone who's been there before. if it takes six months of being misunderstood, i think it will be worth it. that's how it goes in the world of mini livecd's, but what matters is it can and will work out for you and the spirit of linux, without too much pushing. if it hasn't a year from now, call me a liar. but if you (even unintentionally) call someone else one, it will almost always lead to misunderstandings. good luck.