I find some conflicting information...

*All* oil pills are safe...?

http://www.usatoday.com/news/health/2004-12-15-fish-oil-usat_x.htm

[...]

... or they are not? (not all of them, at least)

http://www.nutraingredients.com/news/ng.asp?n=50678-higher-levels-of

[...]

[...]

or is it the case that not all fish oil pills were made equal? :-)

http://www.nutraingredients.com/news/ng.asp?n=50678-higher-levels-of
[...]

[...]

Ok. But then, why doesn't the CRN white paper tell consumers to look for
double distilled oil pills?

True.

That may well be, but it's not what those researchers think.

"ALA may be an alternative to fish oil; however, additional
clinical trials with ALA are warranted."
http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&cmd=Retrieve&dopt=Abstra
ctPlus&list_uids=16365063

In the full text they expand on that.

http://jn.nutrition.org/cgi/content/full/136/1/83
[...]
"The results suggest that a significant increase in plasma EPA levels can
be obtained with a relatively low daily dose of ALA (3 g/d).  Individuals
consuming a reasonable diet can obtain 2–3 g of ALA without having to
resort to dietary supplements (20). This can be achieved by consuming
ALA-rich nuts, cereals, oils, and fortified breads. As "

[...]

"The Lyon Diet Heart Study is the only clinical trial completed with ALA
supplementation designed to analyze hard cardiac endpoints in which the
investigators reported plasma fatty acid levels (25). In the Lyon Study,
ALA supplementation in the form of canola-enriched margarine was given to
patients recently recovering from a myocardial infarction (MI); the ALA
group experienced a 65% relative risk reduction in cardiac death and
nonfatal MI (P = 0.001). Coinciding with this large reduction in cardiac
events, participants in the ALA arm of the Lyon study demonstrated a 35%
increase in EPA levels (expressed as a percentage of total fatty acids).
The results from the Lyon Diet Heart Study suggest that the increases in
plasma EPA levels demonstrated in our trial may be clinically relevant. The
Lyon Diet Heart Study is limited, however, by the fact that multiple
changes in the diet were made in the experimental group including increased
intake of nuts, fruits, and fish as well as favorable changes in saturated,
monounsaturated, and (n-6) fatty acids. "

"Several key questions remain unanswered concerning ALA supplementation:
Will dietary supplementation with ALA result in cardiovascular benefit
similar to that seen with EPA and DHA? If increasing consumption of ALA
results in reduced cardiac risk, is it because of its conversion to EPA or
another mechanism unrelated to EPA (i.e., improvements in endothelial
function, inflammation, lipid changes, or antiarrhythmic effect)? The
answers to these questions may have important clinical and public health
implications because many people do not consume fish or do not have access
to fish rich in EPA."

"The FORCE trial demonstrates the feasibility of increasing EPA levels by
supplementing the diet with ALA in a high risk population and underscores
the need for a larger more definitive clinical trial with coronary
endpoints to determine whether ALA is indeed cardioprotective."

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My point is: I am not saying they are right, I am only saying there are
different takes on the topic.