ref(browser): Improve profiling debug statement

[github-actions]

Note

The pull request "ref(browser): Improve profiling debug statement" was created by @s1gr1d but did not reference an issue. Therefore this issue was created for better visibility in external tools like Linear.

Small log improvement as the log message was not quite clear. Before, it read like it's related to the whole session, but this log is about each span.

[linear]

JS-1306