The Australian built Endeavour Replica was also used in Master and Commander and was actually sailed around Cape Horn with a film crew aboard to get B roll footage.
As a replica, Rose is pretty sad - steel hull and fake molded rubber rope "Rigging" at deck level and fake guns on one side only. Endeavour is built entirely of wood, is rigged traditionally but with synthetic rope made to emulate the appearance and feel of hemp and has real, functional, six pound guns mounted. I don't know about Hermione.
Well aware of the Rose shortcomings.
Hermoine appears to be the real deal. Her scantlings are spot on, and many other details are done correctly. Visit their website and take a look. I’m sure that the pictures carefully avoid the modern bits, but some must be present to permit to sail. She’s not just a museum, but a working ship that has transited the Atlantic.
http://www.hermione2015.com/#home