When a Roman Suez canal would threaten Persia

Would Persia realize that Rome was building a Suez canal and act against it?

Persia might recognize the construction without immediately grasping its commercial threat, then react when Roman shipping diverted trade through India and the Red Sea.

Persia would probably notice a major Roman construction project, but its commercial consequences might become clear only when Roman ships began trading directly with India. Trade passing through the Red Sea could threaten revenues associated with routes across Persian territory. A military response would pit Persian cavalry against Roman infantry, with the terrain affecting their relative advantages. The canal would be a fixed objective that Rome could fortify heavily. The proposed ship canal is treated as a different engineering undertaking from an existing connection between the Gulf of Suez, the Bitter Lakes, and the Nile.