Some of my favorite accomplishments arose from situations in which I was ignorant of their impossibility, so I forged ahead and did it anyway. You may now have a similar opportunity.
Assuming you accept Rob's advice, I suggest you reinforce the assembly with mechanical connections, such as stainless steel wood screws. Wood screws into end grain are notoriously weak. Instead, drill a cross hole near the connection, and place a dowel for the screw to engage. For purity of the experiment, use the same wood for the dowels. If there are lower cross bars, they should be offset vertically so that the same connection can be made from the legs to the cross bars, with smaller dowels in the cross bars.
Go for it. Use waterproof glue, and please post a picture.