I suspect that the French were seeing infantry tanks in the same way as the British and the Soviets (T-26 and T-50), with small caliber armament able to take out the odd tank and MG nest. Tougher defenses were to be dealt with by the B series (which were meant to far more common than simple breakthrough/heavy tanks, with more than 60/month in production by mid-1940 and 100/month intended in the future*, same as the Pz III's production rate at the time), or ARL V 39 SPGs. Pz IVs were not produced at very high rates at the time.As of 1940 the Germans thought that a short 75mm direct-fire gun, i.e. KwK 37 L/24, was the optimal main armament for infantry support AFVs, because smaller-caliber guns' HE shells were much less effective against infantry-battlefield targets. Arguably, the Germans were right. Perhaps the French would have had a similar realization before too much more time had passed.
If the French tank program had continued to evolve, it...much like the early-war German program, with the PzKpfW III and IV, plus the StuG III...might have featured a convergence toward a medium tank armor-powertrain-crewing approach, but a continued divergence of main weapons between tank-fighting and infantry-fighting versions of that otherwise-converged medium tank until the later time when tank-fighting main armament finally evolved to 75mm caliber.
France had at least two short 75mm cannons available...the hull gun from the B1 tank series, and the leftover 75mm Schneider guns from WWI, some of which were in use in casemate versions of the Renault FT. The former probably was much more expensive to build than the KwK 37, so not optimal as a tank weapon. The latter was very old and low-performance. But, either could have provided a starting point for prototypes and battlefield trials.
It's hard to say. The future battle tank spec had a heavier AT armament than the infantry tanks, so maybe the 47mm SA35 would still be accepted even after facing uparmored German tanks and they would just deal with them using AT guns, tank destroyers and battle tanks. The thing is that by French estimates, a turret suitable for the long 47 is similar in weight to one using the full power 75mm, so if infantry tanks are now required to engage heavier tanks, they will indeed die out in favor of only using medium tanks.
The 75mm hull gun happens to use a cartridge of the same length as the German short 75, but muzzle velocity is higher due to pressure and powder loading being closer to normal guns, so it's probably indeed more expensive to build than your typical infantry/pack howitzer. I suspect the French would also consider it to require a dedicated loader (unlike the 47mm SA35 with tiny light ammo), which would lead to the same weight creep which would kill normal infantry tanks.
So yeah... Either the future infantry tanks still happen in their intended form regardless, or they go the way of the T-50 versus T-34 and are abandonned. This is one bit I did not mention: since the future infantry tanks would no longer use simple truck engines, are heavier and would require 60mm of armor which is more difficult to make than 40mm, their tooling/facility requirements would start approaching those of full-blown medium tanks. They may simply not be spammable enough to be worth it. But we will never know for sure.
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