Comprehensive description of cell/battery symbols presents in American National Standard ANSI Y32.2-1975, page 30.The two symbols in the OP are generally understood to represent two DC sources, where the one with multiple cells has a higher voltage than the one with one cell, when both appear in the same schematic.
They may indicate 1-cell vs multicell.
They dont indicate (without additional notation) precisely how many cells, or precisely what voltages.
They don't indicate technology of source, chemical or otherwise.
They don't represent signal inputs.
Symbols which are understood only by their author, are irrelevant and off topic, as the purpose of shared schematics is to communicate something understood by others.
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