Some third party tools have status pages (AWS, Twilio, etc) and others use Twitter. However it's not a habit for me to check these pages before investigating an issue. Many have status notifications via email, slack, etc but I don't necessarily have those open while working out of Gitlab.
So two questions: (1) Is this a big problem for you, and if so (2) How do you work around or solve it?
On a smaller scale you can probably just have cron jobs run these and email/sms you when things fall down.
Forgot to add -- generally though in production you will detect very early on when your code starts crashing or gets rejection rates.
In my day job we generally know when FB/Apple/Google are down/degraded before the larger internet because of scale and integration with their payments and our monitoring.
Having good 3rd party monitoring would be useful.