Firstly, any record deck will play any vinyl record (provided that it can run at the required speed of course - not many 78RPM TTs about), through any mono or stereo sound system. With playback through a stereo system the sound should centre itself as both channels are playing an identical signal.
O.K. That's the basics done with. Please don't jump out of your chair when you read the next bit.
A lot of (old) mono recordings were recorded on equipment which was of lower quality and had limited bandwidth compared with that used today. There seemed to be a significant step change (anecdotal) around 1970 in general recording quality. I have sometimes found that when playing old 50s and 60s records on modern high quality equipment the resultant sound is awful. This I believe, is due to this mismatch in definition. Play an old record on a Dansette portable record player (remember them?) and it sounds great, probably because it has a large sapphire stylus and limited bandwidth so you don't get to hear all the extraneous noise. The record grooves also tended to be deeper and wider than with more modern recordings. Consequently, the modern fine stylus is effectively wallowing about in a trench. How will that sound?
I think that a previous comment about using a conical stylus may have some validity for similar reasons.
Buy old kit from the 50s and 60s to play these records and you won't be disappointed.