This is the only "study" I am aware of but it contains numerous links to other sources and info articles. AFAIK it still boils down to personal choice. Hope it helps.

Dave

comparison-of-jarden-and-tattler-lids

Wow, this Houzz website really sucks... sighs...

As far as I know the NCHFP results have not yet been published.

http://www.extension.umn.edu/food/food-safety/home-food-preservation-newsletter/docs/home-preservation-jun-2013.pdf

Are reusable canning lids (Tattler) safe to use?

Resuable
canning lids have been around for 40 years and today, there is renewed
interest in these lids. When using the lids, carefully follow the
manufacturer's instructions. This lid should not impact the safety of
the product as long as the food was processed properly. Currently there
is no research that looks at seal failures, rates, number of reuses or
performance throughout reuses. The National Center for Home Food
Preservation recently received a grant to study the performance of these
lids with results available in 2014 or 2015.

Unfortunately that announcement about the grant, announced in 2013, happened right at the time that federal funding for NCHFP was cut/eliminated. While that may not have eliminated the grant, it very likely eliminated the people and other resources needed to actually do the study.

Wow, this Houzz website really sucks... sighs...

Sorry you don't like it but so far every single complaint or issue has been quickly addressed and fixed by management. So most the "sucks" posts all ended months ago. Since the choice was either this or eliminating the entire GW site and all its forums most folks are more than happy we are still alive and kicking. :)

Dave