if they are willing to give such a good simulator away for free, why not show off the source as well?Because giving away the source code to their simulator doesn't make any business sense in the way giving a Linux kernel driver does.
Giving away LTSPICE is an effort to commoditize their complements. The complement to an opamp is a high quality simulation model. The complement to a high speed data converter is a working Linux driver for JESD204B. Both decrease the effort involved for ADI's customer to use ADI's parts.
Giving away LTSpice source code doesn't achieve a similar aim.