My general recommendation: think like an audiophile tuning up their 70s pride and joy, their tape deck with the logic seeking heads.

The biggest single variable will be the quality of the playback mechanism and specifically the pickup heads.
Older tape technology could suffer from worn pickup heads, gunk such as iron oxide from the tape flaking off on the heads, etc. The net effect of worn or dirty tape heads upon playback is that higher frequencies are cut off or attenuated. So, dig up some head cleaner tape, and/or use a Q-tip with rubbing alcohol to clean the heads prior to making archival recordings. Also, there is always the possibility of head misalignment. This will introduce higher frequency cutoff, and also may muffle the two stereo channels, or even cause the opposite side's audio to be heard during playback.
Another issue is the amount of wow in the tape player. That will depend upon the health of the rubber rollers and belts in the tape player mechanism. For this you want to use some rubber belt cleaner (I think you can find this in hi-fi shops, if you can find one that is.)
I think your setup connectivity is fine. We're talking about media that in its best days, using the tapes that Ella Fitzgerald recorded on that could shatter wine glasses in commercials,

MAYBE could capture and play back up to 15 KHZ with fidelity.
This advice is given not knowing what is being dubbed to digital format. Obviously, voice recordings don't need as much care as recordings of music.