the lack I used for my prusa was , over time, covered in printed gusset features and additional L-brackets to get rid of sway and movement within the table itself.
it looked god-awful but it was sturdy for years and years of production-quantity printing. It was only disassembled when the print lab got rebuilt.
so, in other words, I support your idea of modifying the construction of the lack wholeheartedly. The joint lines are one of the only 'strong-ish' elements on the entire table, and I think they'd take glue nicely.