Here is a fairly recent study on the topic that appears to have decent controls.
https://academic.oup.com/beheco/article/21/3/520/219340
This is the gist of their conclusions:
Small males obtained approximately half the number of matings of normal-sized males, and those small males that did mate also obtained only 61% of the paternity of normal-sized males, which matches well with data showing that they have only 63% as many spermatozoa
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