A properly configured vertical will always produce a better signal for distances requiring a low angle of radiation, when compared with a relatively low inverted Vee dipole (7m max at apex). DX performance improves markedly with antennas that have more radiation at lower angles. This is basic text book fact.
Polarisation is irrelevant if the signal has been reflected by the ionoshere. It is different for line of sight comms, such as occur on VHF and up, because the ionosphere is not involved.
A properly configured dipole at an appropriate height (well over a half wave length) may well out-perform the simple quarter wave vertical with elevated radials. The dipole may also be somewhat directive but the nulls off the ends are greatly reduced in the inverted Vee format and at lower heights such as 7m squid pole height. typical low dipoles are almost perfect omnidirectional antennas.
A slight disadvantage of the vertical as a home antenna is its tendency to receive more local noise. There are plenty of amateurs using a vertical on transmit and a quieter horizontal antenna for receive. your TS2000 has a receive antenna port, so you could do the same without needing external relays etc.