No I'm sorry that you (at least appear to) struggle to understand this. They didn't allow anything. It was a strategy. They only had so much CAP flying, and those fighters were down on the deck chasing torpedo bombers. Their fighters also had limited ammunition capacity (especially for 20mm) at that time, and needed to rearm.
Sending torpedo and dive bomber attacks simultaneously was in fact the intention, there were a lot of accidents and issues going on that day, but it turned out basically as planned in that respect. The CAP cannot be in two places at the same time simultaneously, AA guns cannot shoot at sea level and 15,000 ft simultaneously. It is similar to using torpedo attacks from two different directions, or using torpedo + skip bombing + strafing attacks simultaneously or concurrently as 5th AF repeatedly did. It is a way to confound the defenses.
They didn't have it at Midway, but they actually
did have radar, including on carriers. Shokoku got air search radar with a 100km range by August of 1942.
Their carrier fleet was superior in many ways to the USN fleet. It was
vastly superior to the RN / FAA in almost every respect (number of aircraft carried, technical capacity to launch aircraft, quality and capability of naval aircraft etc.), and continued fighting effectively and posing a serious threat to the USN, which was their only serious opponent (or potential opponent) for a long time after Midway. Needless to say the RN needed to stay
well away from them until the end of the war when they had already been beaten.
As we have already looked at in detail upthread. I can go revive some of those posts if needed.
Their CAP at Midway was very concerned about torpedoes. Nobody on either side was yet aware that the US torpedoes didn't really work.
USN and FAA CAP failed to intercept bombers too on several occasions

Many of which have been posted in this and other recent threads.