If you're worried about security, A less than 10k lines of SOC is your aim. mtm, abduco, dvtm achieve this. screen? Impossible for it to ever be secure. You'll be playing an endless game of whack-a-mole.
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Compared to tmux, which knows this, and can adjust the rendering to suite the new terminal.
refetching terminfo capabilities seems an easy fix, you also get sigwinched which I imagine happens on a new terminal.
Mind you, I don't use abduco but do use dtach sometimes, I've accepted that I need screen and tmux with all its warts, like instead of using a scripting language like TCL/Lua for configuration it built its own frankenstein language that is severely limited.
So, no, the tech is kinda broken. The only correct thing to do is to have the attaching program also do terminal emulation (or, assume that you always attach with a compatible terminal).
You could make it a simpler form of emulation, and then have the more complex muxing ability as a separate program, at the cost of having to go through multiple emulation layers.