:bd does not close the current tab when using Startify

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Description

Hi, I found a possible issue related to tab behavior when Startify is installed.

Steps to reproduce:

Open Vim.

Startify appears in the first tab.

Create a second tab:
:tabnew

Open any file in the second tab.

In the second tab, run:
:bd

Expected behavior (normal Vim behavior):

If a tab contains only one window and its only buffer is deleted with :bd,
Vim should automatically close that tab.

Actual behavior (with Startify installed):

After running :bd, the file buffer is closed,
but the tab does not close.

Instead, the tab switches to a Startify buffer,
so the tab never becomes empty.
Therefore Vim will not close the tab automatically.

This does not happen in a clean Vim environment without Startify.
It seems that Startify’s buffer becomes a fallback buffer, preventing Vim from closing the tab.

Environment:

Vim version: 9.1.1825

Startify version: latest

OS: Windows 11

Additional notes:

I expect :bd to close the tab when it becomes empty, just like default Vim behavior.
But Startify keeps a buffer available inside the tab, so the tab never closes.

Could this be a bug or unintended behavior?

Thank you!

Reproduce the behavior in Vim with Startify installed by opening a second tab, editing a file, and running :bd; compare it with a clean Vim environment. Trace the Startify fallback-buffer behavior and confirm that the finished change lets :bd close a tab containing only that buffer, without regressing the startup screen.

Written by the indexing model from the issue text.