I dont think thats a good reason imo, i think your fondness for Hill is just causing you to over think it. Another point is Taysom does line up at QB quite a bit, he might not throw from the position, but he lines and runs QB power most of the time hes in the game. A;so below is from the wiki page
2023 season
After a season of categorization at tight end on the Saints depth chart, Hill was moved back to his original position of quarterback. Pundits speculated that this was done to take advantage of the NFL's newly implemented emergency third quarterback rule.[82][83][84][85] He finished the 2023 season with 81 carries for 401 rushing yards and four rushing touchdowns to go with 33 receptions for 291 receiving yards and two receiving touchdowns.