Can a Bloodrager / Sorcerer get a Bloodline Mutation with Eldritch Heritage

So while messing around with my Id Bloodrager and lamenting my inability to get a Bloodline Mutation I came across an interesting question when i looked at the Eldritch heritage line of feats.

Is there any reason why a Bloodrager or Sorcerer that takes Eldritch Heritage cant trade away the power given for a bloodline mutation?

Benefit: Select one sorcerer bloodline. You must have Skill focus in the class skill that bloodline grants to a sorcerer at 1st level (for example, Heal for the celestial bloodline). This bloodline cannot be a bloodline you already have. You gain the first-level bloodline power for the selected bloodline. For purposes of using that power, treat your sorcerer level as equal to your character level – 2, even if you have levels in sorcerer. You do not gain any of the other bloodline abilities.

Although heirs to similar arcane bloodlines may share commonalities, the unique circumstances in which a bloodline enters a bloodrager or sorcerer's lineage can result in the manifestation of particularly strange or unusual bloodline powers known as mutations. Whenever a bloodrager or a sorcerer gains a new bloodline power, she can swap her bloodline power for a bloodline mutation whose prerequisites she meets. Once this choice is made, it cannot be changed, and a bloodrager or sorcerer cannot swap a bloodline power that she has altered or replaced with an archetype for a bloodline mutation. A bloodrager need not be in a bloodrage to use her bloodline mutation powers. Alternatively, a bloodrager or sorcerer can select a bloodline mutation in place of a bloodline bonus feat, provided her class level is at least equal to the level of the bloodline ability the mutation normally replaces.

Bloodline Mutations can be taken whenever you gain a bloodline power.

Though note that for the Blood Havoc mutation, it cares about the bloodline whose power you replaced, as in the one you gained through Eldritch Heritage, not the one which you naturally have. And the other two care about your caster level, so it could be argued that you gain new uses two levels later due to Eldritch Heritage.

By the rules as written, no. Eldritch Heritage does not make you a bloodrager nor does it make you a sorcerer. You merely have some of the abilities of the sorcerer.

For a similar example, a common question is can a bard pick up the Sage Bloodline with Eldritch Heritage? The answer is no. You are not a sorcerer, you cannot take the Wildblooded Archetype, therefore you cannot have mutated bloodlines.

Now, that said... in my games I throw out the "wildblooded" archetype and just allow those bloodlines to have a choice inherent in them. As for the bloodline mutations, I don't know what book that's in so I'd have to read them, but odds are I'd do the same thing with them.

However, again... Eldritch Heritage gives you a bloodline specifically as laid out in the feat. It does not make you a sorcerer for anything other than the powers of the bloodline, you don't even get the arcana.

The question as posited already had the person taking Eldritch Heritage be a sorcerer or bloodrager already, so the question of whether Eldritch Heritage alone lets you get a mutation isn't relevant here. (Though I agree that it does not.)

Wildblooded bloodlines weren't really brought up?

You can but overall you are better off swapping a bloodline feat rather than a general feat for the mutation, especially a general feat that has a feat tax prerequisite.

You can but overall you are better off swapping a bloodline feat rather than a general feat for the mutation, especially a general feat that has a feat tax prerequisite.

Usually yes, in this case my archetype gives skill focus for free and alters bonus feats. But I suppose for most its just an oddity rather than useful.