And I don't care if it notifies me when I stop the streams that's very rare.
You need to care. Think about it... is stream down? yes = send alert... home many times a second?
A carelessly created alert/monitor could easily become the equivalent of a denial of service event (self-inflicted in this case). and crash/overload SMTP server, potentially LAN link impact (preventing remote access), etc. And if that SMTP relay going to Internet located SMTP relay/mailbox, you risk being flagged as a SPAMMER (by your ISP, SMTP relays, etc)
You could easily do the figurative 'shoot yourself in the foot' if you aren't careful.
Like the other day the stream was still running but it wasn't streaming the light was green but the bites going out were 0, so I don't know what happened there, there was no crash log. But I didn't know about it until somebody said something, and that's not cool I think it was down for several hours.
I can easily envision a scenario (reported in these forums in recent years) where OBS Studio is sending a normal stream (not 0 bitrate) but there is STILL an issue with client viewability of the stream. I can't imagine anything in OBS Studio itself that will be able to report on such a status. Largely because, I'm not aware of the free service CDNs self-monitoring and reporting back to end-users or having an API to check such status. A lower then expected bitrate, for an extended period of time is easy to check for from the sending unit as Aaron listed above (but there are other failure scenarios that won't be).
Regardless, you are using free software not designed for 24/7 operation (that I'm aware of), on Windows desktop OS (not designed for 24/7), and a free service... so be thoughtful of reasonable expectations. There are plenty of folks using OBS in this manner, but it strikes me as wrong tool for the job, and one that at least for now, and I'd suspect for a long time if not forever, comes with serious caveats for 24/7 usage.. The tool is designed for a user-interactive environment. And Windows desktop OS, has benefitted consistently by regular logging and reboots (sometimes due to OS itself, but usually driver and/or application software) since the beginning.
And to clarify expectations, It appears your expectation of monitoring include actual stream output from the CDN.
And you want to know, presumably even when you aren't home, meaning your monitoring and notification system has to work even if your ISP link goes down. right?
Do you have multiple ISP connections on divergent physical paths? For residential, most wires follow same path (poles, underground trench, etc), so realistic divergent-path connectivity will include something wireless, with care taken to avoid common incumbent local telco switching station (no help if cellular carrier has fiber connection to same common station as coax, DSL, and/or fiber wired termination points).