I pull down the History menu reasonably often. I'm one of the few people who still uses bookmarks too. I found that hitting alt was annoying and I'd forget about the menu and try to find stuff on the Hamburger menu instead and get annoyed.
Now that you mention it, I also use the history menu pretty frequently. I don't use the bookmark facility in browsers, though, because I run my own bookmark server (so I have access to my bookmarks no matter what computer or browser I'm using).
Maybe you know this already, but Firefox has shortcuts for both of those. History is Ctrl+H and bookmarks is Ctrl+B. Ctrl+Shift+H and Ctrl+Shift+B to get them in a separate window.
The Ctrl-H history opens up the annoying sidebar though, and then you have to click to expand. It's not as ergonomic as the menu. The Bookmarks have the same problem.