It's perfectly normal and has to due with the heavy duty cooling system. I don't know the exact numbers for a 2nd gen, but presume it's the same or very similar to a 3rd gen. The 190° thermostat for 3rd gen's opens at 190° ±3°, and isn't fully open until 207°. That 17° swing allows for a lot of room, and as the thermostats age the shaft develops a wear spot, and the spring weakens so the thermostat is slower to react, and may not even go full open.
As I cruise the highway I sit at 188-190° for the first 20-30 miles, then slowly warm up to 193° and stay there unless I hit a large hill. So far this spring towing the warmest I have seen is 197°, which goes to show how large the cooling system is and why the thermostats rarely get exercised to their full range of travel. I changed my thermostat 18 months ago and can count on one hand the number of times it has gone full open and I have been towing over 50% of those miles.
Like JLandry said if the swings become excessive, or its really slow to open the first time of the day then its time for a new one. Before I changed mine I would spike 197°-207° on the initial opening of the day, now its 193° max.
It's my . 02, but only use Cummins t-stats.