The correct procedure would be to conduct a missed approach when a landing clearance is not available due to a blocked frequency. Continuing to land would be a violation (a deliberate mistake), which would be the cause of an accident/incident if there was a reason to withhold a landing clearance.
It's so easy for the more experienced practitioners of aviation to become complacent or not keep up with the rules. I am always so impressed to meet people who have been in the game for ages who combine the many advantages of experience with a healthy respect for the rules and regs.