Something similar to this but more stout.
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Any of the styles used on coast redwood, Sequoia sempervirens, can be used on bald cypress. Look at some of the great things done with redwood burls, redwood nurse logs, redwood "chunks of stumps" that have been collected. In many ways similar can be done with bald cypress. There "are no rules" in terms of what you can attempt. Its only a matter of what the natural growth habits of the tree allow.
So yes, what you propose can be done.
As to natural styles, if you use google images there are literally thousands of images on the web of mature to ancient bald cypress, they are photogenic, so there are a lot of photos available. Take a serious analytica look at them. Most of the real world examples that are at a quick glance categorized as "Flat Top" are in reality gentle wide arc domes. But there are a very wide range of other styles. many in an area will be similar, Photos from a different area will be different to other areas but similar to each other. The shaping forces of weather and climate are regional. My photos of the Cache River are mostly "Broken Top" styles. My photos from Horseshoe Lake IL are rather different, not quite as old and much less broken. When time permits I'll make another album.
You are right that the alternate habit of branching of bald cypress is desirable over the Metasequoia.
So let your imagination run.
An example of using a Bald Cypress, or in this example a Moctezuma cypress as "silly putty" styling in a manner they do not naturally grow, the attached image is a tree styled by Houston Sanders, it is Taxodium mucronatum, the Mexican or Moctezuma cypress, displayed at the 2018 Midwest Bonsai Society show at the Chicago Botanic Garden. Houston told me, he had no idea what this species should look like, so he decided to make a weeping willow like weeping tree. He got a First Place at that show, which is fairly competitive as shows go. As a weeping tree it is well done. I've seen it leafless and with leaves, it is a better weeping tree leafless, as the natural display of leaves does not weep.
So the point is not that you should make a weeping tree, but rather if you have inspiration, you do not have to be limited by what is considered "natural" for a tree.
By the way, Taxodium mucronatum is a sub-tropical tree, probably zone 8 at the coldest for winter tolerance. This tree was raised from seed, wintering in a barely above freezing polyhouse in Wisconsin. The fact it got this large, roughly 36 inches tall, dealing with Wisconsin winters is a tribute to the owner's dedication to keep it alive. This tree is significantly older than 10 years.