Even for firmware upgrades or software updates, I don't trust the apps notifications. I just go to their official website by typing the address and update my software. Because on Electrum we have seen how scammers were able to send notifications on the apps that force the download of fake software or malware.
A small correction here. People weren't forced to download the malicious Electrum apps. They were tricked to do it voluntarily after seeing the notification pop-ups sent by the scammers and server operators. That made them think it was urgent to upgrade, so they did it.
Isn't it easier (safer) to save the original link to your favorites and then use it every time you need it? Typing an address is error-prone and just one wrong letter can lead you to a phishing address.
Accessing websites from saved bookmarks is indeed safer. However, your browser remembers your browsing history unless you delete it every time. If you want to visit a familar website, all you have to do is enter the first couple of characters in the search bar and the browser takes care of the rest.