Leave it to Microsoft to turn everything into an acronym.  So let me start with definitions:

• ESP = Enrollment Status Page.  This shows the progress of the Windows Autopilot device provisioning process, in two different phases:  device ESP, which tracks the device configuration, and user ESP, which tracks the user configuration after the user is signed in for the first time.
• FSIA = First Sign-In Animation, the pulsing blue/black screen that shows up the first time you sign into Windows.  During Autopilot, it shows up in between device ESP and user ESP.

This is what the FSIA screen looks like:

But this animation can be turned off via a policy.  This policy can be set via Group Policy or via MDM, and unfortunately neither of those are exposed through Intune (or at least I can’t find them).  But it’s easy enough to add as a custom policy:

The critical piece of that is the OMA-URI:

./Device/Vendor/MSFT/Policy/Config/WindowsLogon/EnableFirstLogonAnimation

This is documented in the Policy CSP documentation.  Once you have it configured, you can assign it to an appropriate group of devices.  So what does the process look like with that policy in place?  Here’s a short video, showing the end of device ESP, the user sign-on without FSIA, and then user ESP:

That is a slightly less jarring transition.  (It also has another side benefit: It reduces the load on the device CPU.  The animation is compute-intensive for some reason.)  Try it out yourself.