One Manjaro XFCE4 laptop has text in panel showing open tab, Laptop 2 XFCE4 does not

[Nachlese]

@tgz

And you say you’re not seeing something, but panel preferences are set the same on both.

What I don’t see is the “Workspace Switcher” applet in the second picture.
So: the panel preferences can’t be the same - or it is just not captured in your picture.

@tgz

still the problem of new firefox windows are stacking.

Not visible in your pictures …

[nikgnomic]

@tgz

The link in your post goes to a "not created yet message.

link has been corrected

@Aragorn

The task manager itself is a widget on the panel

xfce4-taskmanger does not have a plugin for xfce4-panel
apps:xfce4-taskmanager:start [Xfce Docs]

@Nachlese

to the right, is the “Workspace Switcher” applet
@Aragorn called it “Pager”.

xfce:xfce4-panel:pager [Xfce Docs]
xfce4-panel - Workspace Switcher

@Nachlese

Configure the “Window Buttons” applet to show button labels (check a check mark as described)

xfce:xfce4-panel:tasklist [Xfce Docs]
xfce4-panel - Window Buttons