Yes, you would be correct, at least in terms of our current knowledge.
In fact, it’s not that unusual to choose units so that you can set c = 1 (ie, to make it unitless). This way units of time and units of distance are the same kind, velocities are dimensionless geometric quantities, etc...
You might want to think of “c” not so much as a speed as a conversion factor between distance type units and time type units.
Yes, you would be correct, at least in terms of our current knowledge.
In fact, it’s not that unusual to choose units so that you can set c = 1 (ie, to make it unitless). This way units of time and units of distance are the same kind, velocities are dimensionless geometric quantities, etc...
You might want to think of “c” not so much as a speed as a conversion factor between distance type units and time type units.