The H-sensor is dead. It's an anachronism. It existed because there wasn't enough horsepower under the hood to drive a full-frame sports camera.
That's just not really true at all is it? People keep saying this like FF vs. APS-H has anything to do with "horsepower" as in computing power. Canon had 35mm SLRs that shot 10 fps so it wasn't a mechanics were fine. So, they didn't have the computing power to throw 11.6mp around at 10fps when the 1Ds first came out. But that has nothing to do with the FF sensor. And the APS-H sensor of the 1D line wasn't the reason it could shoot 8.5 and 10fps.
APS-H has it's place and I would love to see it used again in a figure camera. It's a good balance of crop, IQ, and getting to use lenses closer to their intended focal length.
It's not really 'horsepower' in the sense of data throughput. From that standpoint, 18 MP is 18 MP, whether it's from APS-C or -H or FF, it's the same amount of data. However, where size matters is in clearing the data from the CMOS sensor itself, which must be 'flushed' after each capture (I recall a firmware update for a camera that fixed 'ghost images' which resulted from incompletely flushing the sensor). That may have been a limiting factor in achieving high frame rates with FF that technology has solved.
APS-H was a compromise sensor - for some, the best compromise of some crop factor for extra reach with better IQ, for others, a poor compromise between not enough reach and not good enough IQ, with the added problem of a lack of ultrawide capability with available lenses.
Fundamentally, though, I think the real reason we had an APS-H sensor was rooted in the sensor production process. Why that size, and not some other size? Because at the time, the APS-H size was the largest dimension that could be imaged onto a silicon wafer in a single pass - FF sensors required 3 passes, which substantially increased production costs (not so much the cost of the passes, but rather the increased QC failure rate resulting from multiple passes). Today, I believe that FF sensors no longer require 3 passes (perhaps 2 or even 1), and that factor is contributing to the deprioritizing of the APS-H format.
Interesting technical note! I really like the ASP-C because of the reach it gives me... if they would put asp-c in a 1D body...