My JZA-70 used to run at about .75 to .8 bar with exhaust and air filter (K&N pod). It used to be just fine at this. With the boost controller, I used to run (conservatively) .85 bar until checking my air fuel ratios. Needn't have held back as at .9bar you still need to lean out the factory computor to make more power. (I have'nt dialed up more boost as I am paranoid about the ceramic wheels falling off - another thread subject?)
The factory intercooler is not a very good one I'm told (mainly from people trying to sell me a new one!), as it is restrictive and does not cool very well. However the amount of time at max boost I spend does not seem to warrant spending thousands of bucks on a new 'cooler. I have not seen any specs on the JZA-70 cooler, but it looks at least 20% bigger than the ma-70 version.