Is it bad to turn the engine on and off frequently

[StockEngine]

i used to turn off my engine during long-ish waits.
i figured, if 30 seconds or more waiting, i turn it off.

so far, after 13 years and over 124K km, ok naman engine.
but i had to replace my battery more than twice as often as my other car's, whose driver did not turn off the engine during long-ish waits as i did.

fuel saved is probably 2x the cost of the battery? breathing fresher air lessened copd too...

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