I'm most interested in seeing how competitive they can be against the reusable SpaceX rockets
That is the benchmark to beat in terms of launch costs
Depends on so many factor it is hard to say. Both TengYun and Falcon9 reuse their first stage, HTHL may have advantages in turn around time over VTVL.
Second stage separation speed is more important, Falcon9 is around M6-M7, Depends on what air-breathing engine TengYun uses it may be lower (precooler ~ M5) or higher (RBCC/TBCC ~ up to M10). Obviously higher separation speed -> lower second stage mass for same payload.
Also I won't take Skylon figure seriously, its pie in the sky for the moment....