well... lets be serious here.
if you are talking about "distillation" you could either directly or indirectly distill it.
Direct
almost all your models are from different family with their own tokenizers, so you are NOT doing logit level distillation for sure.
indirect distillation
well... this is kind what you are doing. it mainly consists of smart tricks, which consists of: YOU GUESSED IT! SFT or RL๐ญ
you can directly move the models likeliness for the next token to a specific style of tokens with SFT, which is something we all do. do for fun actually.
then you can do RL. for example:
- DPO: you reject the student's sample and use the teacher's sample
- GRPO: you can give the teacher's higher scores. although if the teacher is too big or if there is too much samples from a bigger teacher, it directly attacks point sfrom this research: 2502.12143 (yalls hould read it, its a really cool paper)
also there is this new technique called MOPD, its made for tasks like these. tbh, for distillation, i reccomend you to this paper: arXiv:2502.12143
but anyways, you should take down that statement, bcs you are NOT doing direct distillation with missmatching tokenizers, and you are doing SFT or RL!