So I'm probably not your target audience (I haven't had to interview for a software eng job for at least 7-8 years), but from my past experiences in these interviews from that time, system design is typically the most sensible part of the interview process and it really does just test if you have experience solving those problems, or if you're less senior, if you can think at least through the problems logically. There are even pretty good system design interview books written out there. What do you think is gatekept about this?
Leetcode took off as a trend because it wasn't easy for company interviewers to come up with good coding questions, partly because the daily work of most software engineers in most companies simply don't involve much tricky programming. System design is the opposite, most software engineers have to work on system design in their daily work and most companies can simply ask system questions very related to their companies' problems.
Looking at it from this lens, I'm not sure what a leetcode for system design adds in value, that a system design interview book doesn't already give.