Toon stats and capital ships

It would add speed and also damage.

Level, gear, mods, and abilities are all taken into factor for a character's GP. A character's GP directly impacts the power of any ship whether it's a capital ship or normal ship.

To get your capital ship at its maximum power (main stats for capital ships that matter are speed and damage output as noted by Kyno), you need max level, max gear, max abilities, and max mods (6E). The stats don't matter for the mods so you can put on virtually whatever you like. Only the level of the mods matter (6E level 15).