It's true that it's possible to accomplish a great deal of biology/biochemistry research using just basic tools: I would say that the single greatest analytical tool in biochemistry is the
polyacrylamide gel, which can be produced and used with no real specialized training or tools.
However, we're moving away from such "crude" techniques towards more sophisticated analytical tools, since in many ways biochemistry is now technology-limited. Single-molecule work, such as that pioneered by Carlos Bustamante provide insights that would never be possible with classical methods, and on the other end of the spectrum, we're now working on characterizing the entire network of small metabolite molecules simultaneously and quantitatively. This kind of work just isn't easily carried out by amateur enthusiasts.
That said, there is certainly quite a bit of research that DIY biologists would be capable of performing, especially considering that they could have access to the same kind of resources that professionals do. For example, after amplifying a gene, no researcher will sequence it themselves: it's shipped of to a specialized lab that will do it, for a fee. That sequencing step requires equipment and expertise that's at a higher level than even the pros don't have.
But regardless of theoretical ability, the professionals retain the advantage that it is their job to work on these projects. The time they can dedicate to their work will be far greater than someone who does it as a hobby.
Back to the subject of "openness", the professional scientific world isn't nearly as closed-off as the article would have you believe. It is true that there is a persistent fear of being "scooped", but the standards are changing for staking your claim on a particular piece of research.
It used to be that a full manuscript in a scientific journal was the only thing sufficient to get credit for something. Now, people are gradually embracing online resources are a valid way to communicate, and by extension, to prove that they were the source of any particular bit of publicized material. Even non-finalized material is now more common to make public: Nature has a pre-publication online source for publishing findings, and there are journals devoted entirely to negative results, which was previously unheard-of.
The walls are coming down, it's just a question of finalizing the transition, and winning over the old guard.
Disclosure: I am a professional research scientist, one of the younger ones. I have a substantial hardware/software project in the works, which will likely be simultaneously published via classic journal, online website, and software via SourceForge.