You can also avoid this by drawing with smaller gauge needles like a 25g... and by inserting the needle at a slight angle with the bevel side up and then moving it to 90 degrees as you insert through the stopper.
I think readalot was the one that posted the study on needle gauges, insertion technique, and floaters.
edit: found the study
Vial coring and fragmentation incidence after angled penetration of rubber stoppers with single-use hypodermic needles
"Regarding the influence of bevel position on fragmentation,
bevel up performed most reliably. Regardless of needle size, bevel position, and penetration method, it did not produce cores. The only particles generated were fragments at a low incidence of 6% in conjunction with the 20G needles using penetration method.
These results agree with literature sources which cite the bevel up position as the preferential orientation when penetrating stoppers"
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