Just as a reminder for the difference of scale between a land-based bomber and a carrier-based one of the same era:
The Avro Lancaster. 4-engine heavy bomber. Prototyped in early 1941, Adopted for general use at the start of 1942.
70 feet long, 102 foot wingspan, weighing in at just under 17 tons completely empty, with a maximum takeoff weight (Full tanks and an 'optimal' bomb load) of 31 tons (68,000 pounds)
Normal bomb load of 14,000 pounds (6.4 tons) or a single 22,000 pound Grand Slam Earthquake Bomb (10 tons with modifications to bomb bay).
A typical early war 'fuck you and everything around you' load would have one 2-ton 'cookie' and 2,832 Incendiary 2-kilogram bomblets. Per bomber. In a formation of around 100. It was normally used to attempt to delete industrial sites, and did a pretty good job of it.
Around the same time the Lancaster was turning cities like Hamburg into ashes, the biggest and beefiest carrier-based bomber was probably the SBD Dauntless, which made its mark on history by turning the IJN's CarDiv 1 and 2 into Funeral pyres at Midway.
And the Dauntless is a zippy little brute, don't get me wrong.
33 feet long, 41 foot wingspan, weighs under 3 tons when empty, and has a total rack weight of just under 5 tons (10,700 pounds) when loaded right to the limits.
Maximum bomb load of 2,250 pounds of assorted explosive devices.
So, even if you can somehow cram 3 Dauntless into the same space as one Lanc, the four-engine Heavy bomber simply has the capacity to go 'ha, no' and out-explode whatever mostly-stationary target the Daunts were ordered to hit. (Also, the Lancaster was faster by 30 mph, clocking 282 to the Daunt's 255)
@Wobulator; your suggestion of HA bombing being used to break up formations is all well and good, but at the time, synchronized coordination between planes especially land-based and naval forces, was somewhere between 'laughable' and 'nonexistent'; a typical bomber formation might cruise along between 25 to 35 thousand feet, while a dive bomber tends to peak at 10 thou right before going into the actual dive part.
I don't know about you, but I'd be plenty leery of flying into a grid area designated as the dumping ground for the Heavy Bombers, and there's been more than one instance of heavy bombers, in the same formation no less, accidentally blue-on-blueing each other with dropped ordnance, either because of prior battle damage and drag, or simply bad luck.
At best, the TBs and DBs would have to hang back until after the HA run was over, by which point the affected ships would already be restoring formation. At worst, some wild gloryhound with a rampaging murderboner orders the light planes in while the bombs are still falling and ends up with a swath of allied planes getting domed by sticks of 250 or 500-pounders.
Another example of just how ineffective High-Altitude bombing is against ships is the case of the USAAF versus the then-crippled Hiei, which had a jammed rudder and could only steam at a speed of around 3-4 knots after the Friday the 13th Battle of Guadalcanal. Despite allocating 20-odd B-17 bombers (averaging 8,000 pounds or 4 tons of bombs per plane), there were no confirmed hits on Hiei, leaving the task of finishing her off to Enterprise's planes that afternoon.