Crash on RecursiveAdjustChartForGroupChange when loading data from a custom module

Reproduction steps:

1. Open the attached project “2023.1_URP.zip“
2. Download the “broken custom counter.data” attachment
3. Load the downloaded attachment in the Profiler window (Window > Analysis > Profiler)

Expected result: the data is loaded successfully
Actual result: the Editor crashes

Reproducible with: 2022.2.0b8, 2023.1.0a11
Could not test with: 2020.3.39f1, 2021.3.10f1, 2022.1.17f1 - could not load the attachment: “Profiler data stream has invalid signature. Was this Profiler data captured in a newer Unity version?“

Reproduced on: Windows 10 Pro

First few lines of the stack trace:
{{0x00007ff694efeab1 (Unity) RecursiveAdjustChartForGroupChange }}
{{0x00007ff694efa480 (Unity) ProfilerHistory::AddFrame }}
{{0x00007ff694efa850 (Unity) ProfilerHistory::AddFrameDataAndTransferOwnership }}
{{0x00007ff694f38c80 (Unity) profiling::ProfilerSession::LoadProcessed }}
0x00007ff694f38351 (Unity) profiling::ProfilerSession::LoadFromFile