Fix `TempData` and `SupplyParameterFromSession` to support streaming SSR

[dariatiurina]

Is there an existing issue for this?

• I have searched the existing issues

Describe the bug

TempData and SupplyParameterFromSession both don't support streaming SSR. This needs to be fixed.

Expected Behavior

Both should work.

Steps To Reproduce

No response

Exceptions (if any)

No response

.NET Version

No response

Anything else?

No response

[github-actions]

Triage Summary

Area: area-blazor (already labeled — involves Blazor streaming SSR, TempData, and SupplyParameterFromSession which are Blazor/Razor Components features)
Type: bug (the issue reports that two features don't work in a specific rendering mode — streaming SSR — where they are expected to work)

Potential Duplicates

• None found

Notes

• The issue is light on reproduction steps and version details. More context (e.g., specific .NET version, repro project) could help the team prioritize and investigate.
• Both TempData and SupplyParameterFromSession involve state that is read/written during the HTTP request lifecycle; streaming SSR changes when/how that lifecycle completes, which likely explains the incompatibility.

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