Hello,
Because the plugin "attach serial" is linked with packs ; if you want to have different designs, you need to have one pack per design.
Afterwards, you can use the same generator for both packs ; it won't be a problem.
Now regarding your specific configuration ; it could be interesting to improve the "attach serial" plugin via a development in order to add one new level of restriction, based on the product.
Regards,
Jerome - Obsidev.com
HikaMarket & HikaSerial developer / HikaShop core dev team.
Also helping the HikaShop support team when having some time or couldn't sleep.
By the way, do not send me private message, use the "contact us" form instead.