Also, choosing a telescope for faint objects includes figuring in contrast. We really can't build and mount huge refractors inexpensively, but their lack of central obstruction, combined with good baffling and blackening can result in impressive performance on faint objects.
If you are doing research, and you have access to university-affiliated 'scopes, they will almost certainly be fixed with instrumentation, and not eyepieces. They will be large, and often Ritchey-Chretien designs meant to provide large flat fields for the instruments to exploit. If you are doing independent research and have to buy your own equipment, you're probably going to be settling for Newtonians of some sort unless you are independently wealthy.
As for design performance, aluminized mirrors never deliver the same throughput as well-coated glass, so contrast suffers, and degrades at about 1% a year. Catadioptric designs have a larger central obstruction than Newtonians, so although they are smaller and handier in some respects, resolution is generally not as good. Lots of trade-offs.