You're actually on to something here because With Naruto's healing abilitiy and enhanced strength and speed in BM mode, he would be able to continually use 7 gates which is actually enough to solo the entire Narutoverse. If A BSM Naruto used 7 out of the 8 gates, thats basically like multiplying his power to the power of 7. In fact, even if Naruto only knew 3 gates, hed still wreck many ninja.
You have to remember, the gates improve what you already have. Gai is faster than lee so if both of them used the same amount of Gates, Gai would indeed be stronger and faster even if they are using the same amount of gates.
Naruto is faster than Gated Gai(& th gate Gui is arguable) but if Naruto would be able to use the gates up to gates 7, hed be so fast that his speed would create shockwaves that are tailed powerful enough to wreck mountains and villages just by him continually stopping and moving.
Hell, it would even be cool to see a sage mode Naruto use the Gates, even that would be op because a sage mode Naruto using the 7th gate would tear up regular BM naruto for abit.