How to reproduce:
1. Open the “Addressable Playground” project
2. Open the Addressable Groups window (Window > Asset Management > Addressables > Groups)
3. Make sure “Play Mode Script” is set to "Use Existing Build"
4. Build the Addressable Groups (Addressable Groups > Build > New Build > Default Build Script)
5. Open the Addressable Hosting window (Window > Asset Management > Addressables > Hosting)
6. Make sure to enable Hosting on the “Local Hosting 0” service
7. Open the Profiler window (Window > Analysis > Profiler)
8. Enter Play Mode for 5 seconds then exit Play Mode
9. In the Profiler select any frame within the “Addressable Assets” category

Expected result: No “KeyNotFoundException” error is thrown to the Console
Actual result: The “KeyNotFoundException” error is thrown to the Console

Reproduced with: 1.21.19 (2022.3.14f1, 2023.2.2f1)
Could not test with: 1.21.12-1.21.18 (2022.3.7f1) (Requires deleting the Library to open the project therefore the issue does not reproduce), 1.21.19 (2021.3.32f1) (Addressable profiler detailed view supported on Unity Editor 2022.2 or later), 2.0.3-2.0.6 (2023.2.2f1, 2023.3.0a16) (Errors are thrown when entering Play Mode)

Reproduced on: macOS 14.1.1 (by reporter), Windows 11
Not reproducible on: No other environment tested

Notes:
1. From the Addresables Package version 2.0.3 the Addressable Hosting window can no longer be opened
2. The expected result is achieved when loading in assets locally (Addressable Groups -> Profile: Default -> Manage Profiles -> Remote -> Set to "Built-in")