SIM cards can cause issues like that, but as far as i remember, most of those issues would come from the card itself being positioned improperly in the tray and not making a proper connection (or obviously if the SIM is bad in the first place).
A SIM card causing reception issues would typically be the exception and not the rule though, and i would certainly look to other issues before focusing on that card.
Are you trying to connect to LTE? 4G? Edge? Have you tried turning off LTE and trying to use the 4G service only to see how it stands up vs. the 4 you said gets great quality?