BUG: Properly reference weight field in profile code for particle-based datasets #8511

Job	Run time
unit tests: py3.10.3 on ubuntu-20.04 (pytest)	10m 38s
unit tests: py3.13 on macos-latest (pytest)	12m 41s
answer tests: py3.10 on ubuntu-latest (nose)	13m 44s
unit tests: py3.10 on ubuntu-latest (nose)	13m 56s
unit tests: py3.13 on ubuntu-latest (pytest)	17m 53s
unit tests: py3.x on ubuntu-latest (pytest)	9m 56s
unit tests: py3.13 on windows-latest (pytest)	18m 17s
Image tests	6m 17s
	1h 43m 22s

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