The system is designed to rely on fundamentally-flawed things like ID correlation and verification. Broken implementations were the desired outcome, because the constant doubt allows for things like disenfranchising people via voter roll purging.
I have trouble believing that, given that the "design", such as it is, took place over many decades of inter-agency regulatory/technical wrangling and organic growth.
At different times and points, the people that built what we think of as "the voting system" had totally different goals. Sometimes those goals were "make sure everyone eligible can vote as easily as possible"--and that's laudable! But more often the goals were "build $niche_system_component to comply with $specific_regulation". The number of times, during the design phase, where the people planning actually wanted to suppress votes and were empowered to make a part of the system actually do that was probably a rounding error compared to times when people fully accidentally moved the system in that direction due to bureaucratic myopia and shitty implementation.
I'm all for blaming political actors for things they intentionally do that are bad! Defunding the EPA? Bad! Getting into stupid wars? Bad! Banning mail-in voting? Bad! People with power and pre-meditated goals did those things, and many more, and should be opposed for it.
But "voting system is broken due to bureaucratic inter-operation failures, and state government staff have to do a postmortem and data recovery (ballot reprocessing)" isn't one of those times.
Until 2013, some states were under Federal preclearance rules because those "totally different goals" were historically "don't let black people vote".
But "racist state officials did voter suppression" is a different failure mode of the system than "data system corrupted registrations and now they're scrambling to fix the damage".
The malicious-officials problem has fixes like "vote people out" and "decommission harmful programs" and "restore cut funding".
The busted-data-system problem has fixes like "national ID card system" or "remove regulations preventing effective data sharing" or "hold system implementors responsible for failures".
If you see the disenfranchisement/conspiracy of the former in the bureaucratic/tech debt of the latter, you'll fix the wrong problems in the wrong ways, and make things worse.
The problem is when "oops we did a little oopsiefuckup" starts to look like a deliberate pattern to cause chaos.