"I was ceremoniously reamed with BS from the board for just...

"I was ceremoniously reamed with BS from the board for just wanting to rejoin the board to assist my brother and help steer the company again"

From a corporate perspective You do not think it audacious by yourself to expect the board to take you back on after voluntarily leaving it, as a board unlike individuals is governed by its corporate governance practices ?

Personally I would bury the hatchet on that issue , and anything to do with belittling LBL as it is wasted energy on your part , and just stresses everyone out who are ------governed by the board constitution
Use the energy on something constructive maybe your own R&D program for something which you obviously have the skill sets for.

"How could I have confidence in Ms Parsons's abilities"

because Dagmar Parsons has chaired an ASX microcap for the last 6 years . When she took the helm the company was on its death bed , haemorrhaging several million a year , and had accumulated losses of around $50 million , in the last 3 years it has started making a profit , and she has elucidated and graphed a CLEARER strategy graphed going forward than what LBL has done !
Her detailed yearly chairpersons AR analysis is a far cry from the one page document her predecessor at the microcap did before her.
Good to hear you had an argument with Parsons , I do not know the arguments context , although I would probably more call it a healthy constructive debate that she had the confidence to take you on about , and I am surprised you do not have respect for her doing that , that took guts on her part .
Maybe you need to do a bit of self reflection on not taking things personally and just accept people will have different opinions from you .

"Concerning profit margins, what is your opinion on nepotism?"

I do not know where you are going with that and probably I do not want to know as I trust the personal running this company , unlike many companies I am invested in which are run by scoundrels .

"Concerning R&D, a degree does not an innovator make."
Your brain is wired for creativity , its a gift to think abstractly so yes you are correct a degree is not necessary for that , can even be an impediment as can not think outside the box .
I would not demean someone with an engineering degree though as it shows the person has the ability to calculate difficult equations and utilise various engineering programs that I know I can not do .

Anyway take care mate , and hope the lobster pots are full , life is more than just LBL I respect you for putting a great foundation under the company with your brother the legacy of what you guys seeded continues .