Tongue in cheek - Who needs those extra strands, the reason they don't fit is because they are not needed. We can just trim them off, but then again they aren't touching anything.

I have some Ideal push in connectors (this is from about 5 years ago or so) and after trying them on stranded, granted it was smaller gage (for a low voltage setup) but within the gage limits on the listing, and after trying I went to a more sure splice because the strands would bend instead of catch. But, that being said they have some good pullout strength (as would be expected based on how they are built) once you get the strands in.