The Ancestor (unchained) Eidolon may gain the Sorcerer "Simple Class Template" at level four. Cool. The template stipulates (among other things) the following:
- Select a sorcerer creature’s bloodline when the template is added.
- gains the bloodline arcana and bloodline powers of its chosen bloodline
Yes, that means the creature has a bloodline. What do you want to do with it?
Getting a tumor, actually. Which poses its own problem: the Familiar's level depends on "the level of the class that grants your aberrant bloodline". Which, although indirectly, would be the Summoner's level.
But I doubt any GM would go along with that, given that the template means to represent a first level Sorcerer.
The eidolon is treated as having 1 level of sorcerer for the purposes of bloodline abilities, so the eidolon's tumor familiar would be equivalent to that of a 1st-level alchemist. When the summoner reaches 12th level, it bumps up to that of a 5th-level alchemist, and so on.
Yes, I agree. But it could be argued that, since the Eidolon doesn't have any actual class levels as a Sorcerer, the class that actually grants the bloodline is its master's Summoner levels.
...
I wouldn't buy that either, no.