In another thread: How were the territories added to (and thus the limits set in) the Holy Roman Empire I have a post discussing not where were the borders of the Holy Roman Empire, but IF there were borders of the Holy Roman Empire.
Historians of Southeast Asia have the concept of a "mandala" realm, where the authority of the sovereign gets less and less the farther away from the center, so it is very had to find the outermost limits of the realm. Many other realms in history have been similar to this with different zones of different degrees of connection and subordination to the central power.
Historical maps of the Holy Roman Empire seem to deal with its different zones with different degrees of being inside or out of the empire very badly. Makers of historical maps want to show precise borders.
The first map shown above for the 16th Century has an error in showing too much of south eastern France on the French side of the imperial border. The kings of France acquired and ruled lordships, counties, margravites, etc. in the kingdom of Burgundy/Arles, which was part of the empire, and ruled them as the lords, counts etc. of those fiefs. The kings of France acknowledged that those fiefs ere part of the Holy Roman Empire, though of course they were even more disloyal to the emperor than the other lords in the empire.
The second map repeats that error. Note that the second map shows the Habsburg territories such has Hungary, Bohemia, and Austria, all the same color, with the border of the Holy Roman Empire running thorough it to separate the territories within the empire from those outside the empire. It does the same with territories of the Kings of Prussia, Sweden, and Denmark-Norway inside and outside of the Empire's borders. The map maker could have done the same thing for the border with France, showing that the French king was also the ruler of territories that were still within the Empire.
The second map also fails to show that the states in Northern Italy outside of Venice and the Papal States were still part of the Kingdom of Lombardy and the Holy Roman Empire. The mapmaker may have assumed that it was impossible for a realm to have two parts that were separated by territories of other realms. That would have been just as crazy as - for example - East and West Pakistan being separated from each other by the Republic of India in 1947-1971, or East Prussia being separated by part of Poland from the rest of Germany in 1919-1939, or East Prussia being separated by Lithuania and Belarus from the rest of Russia from 1991 until now.
In 1708 a number of lords in northern Italy, such as Ferdinand Charles, Duke of Mantua and Montferrat, discovered that their lands ere still part of the the Holy Roman Empire when the Emperor Joseph I had their fiefs confiscated for aiding the French army.
These few examples show that maps often show the borders of the Holy Roman Empire inaccurately.