I've seen other git clients show a branch name next to each commit. The Bitbucket website does this also. But after you've done a few merges they ALL give up on doing that.
On the rare occassion that I know in advance I will need 10+ branches being worked on simultaneously and will rarely be merged, I get into the habit of prefixing my commit messages with the branch name.
The GitKraken program allows you to show/hide 1 or more branches like you would with layers in a Photoshop document. Sourcetree can only show/hide all local and all remote branches.
So if I have 15 branches, in sourcetree I can see either all 30 local+remote or just all 15 local branches.
But in GitKraken I can set it to only show 1 or 2 or 4 or 5 etc.
You are definitely not the first to ask this question (try searching this site for "branch colors"), and the problem basically boils down to this: even though the name "branch" implies that it refers to a line of commits, on a technical level, a branch only refers to a single commit.
I wrote a rather detailed answer to one of these questions recently, hopefully it helps: https://answers.atlassian.com/questions/44220615
When I click your link I get an SSL error - using Chrome Version 77.0.3865.90 (Official Build) (64-bit), but I get similar errors with Opera and FireFox. (Why does public info even need to be encrypted??)
answers.atlassian.com uses an unsupported protocol.
ERR_SSL_VERSION_OR_CIPHER_MISMATCHHide detailsUnsupported protocolThe client and server don't support a common SSL protocol version or cipher suite.