If that's not letting the rifle fire and eject fired cases easily,..
Might just be the difference in our manner of speaking, but I would change "fire and eject" to "chamber and fire".
In my experience, extraction and ejection after firing are not influenced by the size of the case when chambered. After firing other factors have dominance.
Other than possibly squeezing, stretching and re-squeezing the case more than needed (thus shortening case life some) I don't see a mechanical reason not to start with SB dies.
Growing up and getting into reloading in an era when everything was "bought off the shelf", there was no internet, and one's choices were what ever the shop had on hand, and SB dies were seldom stocked (but would happily be ordered for you) starting with SB dies was something few of us did, and when things worked without them, we usually didn't go back and get them.
SB dies were not generally considered something you
needed for semis, levers (and pumps?) but were looked on as a likely solution if you had a problem with ammo sized in regular dies.